Jan 9, 2012

Transcendental Number Theory

  1. [PDF] 

    Transcendental number theory: Schanuel's Conjecture

    www.math.jussieu.fr/~miw/articles/pdf/Heidelberg2009VI.pdf
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    Transcendental Number Theory: Schanuel's Conjecture. Michel Waldschmidt. Institut de Mathématiques de Jussieu & Paris VI http://www.math.jussieu.fr/∼miw/ ...
  2. [PDF] 

    On Ramachandra's Contributions to Transcendental Number Theory

    www.math.jussieu.fr/~miw/articles/pdf/Ramachandra.pdf
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    by M Waldschmidt - Related articles
    The other contributions of Ramachandra to transcendental number theory are dealt with more concisely in section 4. Finally we propose a few open problems. ...
  3. [PDF] 

    The Role of Complex Conjugation in Transcendental Number Theory

    www.math.jussieu.fr/~miw/articles/pdf/DION2005proceedings.pdf
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    by M Waldschmidt - 2007 - Related articles
    Transcendental Number Theory. Michel Waldschmidt. Dedicated to Professor T.N. Shorey on the occasion of his 60th birthday. ∗. Abstract. In his two well known ...
  4. [PDF] 

    On transcendental number theory, classical analytic functions and ...

    people.maths.ox.ac.uk/zilber/gmt.pdf
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    On transcendental number theory, classical analytic functions and Diophantine geometry. B. Zilber. University of Oxford http://www.maths.ox.ac.uk/˜ zilber/ ...
  5. [PDF] 

    Math 249A Fall 2010: Transcendental Number Theory

    math.stanford.edu/~ksound/TransNotes.pdf
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    Transcendental Number Theory. A course by Kannan Soundararajan. LATEXed by Ian Petrow. September 19, 2011. Contents. 1 Introduction; Transcendence of ...
  6. [PDF] 

    An Invitation to Modern Number Theory Countable, Uncountable ...

    web.williams.edu/go/math/sjmiller/public.../CountableAlgTran.pdf
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    by SJ Miller - 2003 - Related articles
    3 Jan 2011 – An Invitation to Modern Number Theory. Countable, Uncountable, Algebraic and. Transcendentals. Steven J. Miller and. Ramin Takloo-Bighash ...
  7. [PDF] 

    Some Results in Transcendental Number Theory

    pages.central.edu/emp/goodmanr/misc/ResNumTh.pdf - United States
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    To conclude this treatment of transcendental number theory, we state and ... [BA] A. Baker, Transcendental Number Theory, Cambridge University Press, ...
  8. [PDF] 

    TRANSCENDENTAL NUMBER THEORY

    www.plouffe.fr/.../Transcendental%20number%20theory%20-...
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    TRANSCENDENTAL. NUMBER THEORY. ALAN BAKER F.R.S.. Fellow of Trinity College, Cambridge. Professor of Pure Mathematics, University of Cambridge ...
  9. [PDF] 

    PROBLEMS CONNECTING LOGIC AND NUMBER THEORY In the ...

    www.math.harvard.edu/~mazur/papers/logic.pdf
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    by B MAZUR - Related articles
    25 Apr 2009 – [B75] A. Baker, Transcendental Number Theory, Cambridge Mathe- matical Library, Cambridge University Press (1975). [E03] A.K. Eisenträger ...
  10. [PDF] 

    NUMBER THEORY: MY DEVELOPMENT IN THE SUBJECT 1 ...

    www.cmi.ac.in/~vipul/areasofinterest/numbertheory.pdf
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    Mikhael Waalschmitz gave a talk series on Transcendental Number Theory at the Institute of Math- ematical Sciences(place name) a few weeks ago. ...
  11. [PDF] 

    Summer Number Theory Seminar 2001 Algebraic and ...

    www.math.columbia.edu/~ums/pdf/algtrans.pdf
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    by E Patterson - Related articles
    algebraic and transcendental number theory, but many detours into other areas of math will be made. 1 Unique Factorization. We begin by defining prime ...
  12. [PDF] 

    Algebraic Number Theory – Lecture 1 Lee Butler “Stand firm in your ...

    www.maths.bris.ac.uk/~malab/PDFs/Algae_are_more_numb_1.pdf
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    algebra and answers questions about number theory in general, so nothing is lost. (3)Transcendental number theory is not – despite our demi-god like status – ...
  13. [PDF] 

    RELATIONS TO NUMBER THEORY IN PHILIPPE FLAJOLET'S WORK

    algo.inria.fr/pfac/PFAC/Program_files/pf-nt-drmota.pdf
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    11H Geometry of numbers. 11J Diophantine approximation, transcendental number theory. 11K Probab. theory: distr. modulo 1; metric theory of algorithms ...
  14. [PDF] 

    NUMBER THEORY AT THE UNIVERSITY OF ILLINOIS Introduction ...

    www.math.uiuc.edu/~berndt/program.pdf
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    partitions, Transcendental number theory, Gauss and Jacobi sums, Combinatorial number theory, Diophantine problems, Uniform distribution, and Distribution of ...
  15. [PDF] 

    Nikolaos (Nikos) Tzanakis

    www.math.uoc.gr/~tzanakis/CV_english.pdf
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    22 Nov 2011 – October 1990: “Workshop on the application of Transcendental Number Theory”, Uni- versity of Leiden. July 1992: Visit of Erasmus University, ...
  16. [PDF] 

    Publications of A.S. Rapinchuk A) Book 1. Algebraic groups and ...

    www.math.virginia.edu/Faculty/Rapinchuk/publications.pdf
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    Lett. 10(2003), 21-32 MR 2004b:20069. 50. Zariski-dense subgroups andtranscendental number theory (with G. Prasad), Math. Res. Lett. 12(2005), 239-249....
  17. [PDF] 

    ALGEBRAIC AND TRANSCENDENTAL NUMBERS FROM AN INVITATION TO MODERN ...

    web.williams.edu/Mathematics/sjmiller/public.../AlgTrans_Chap5.pdf
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    by SJ MILLER - Related articles
    [B] A. Baker, Transcendental Number Theory, Cambridge University Press, Cambridge, 1990. [BM] R. Balasubramanian and C. J. Mozzochi, Siegel zeros and the...
  18. [PDF] 

    Sans titre

    www.math.polytechnique.fr/xups/textes-provisoires11/andre.pdf
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    by Y André - Related articles
    This is a introductory survey of some recent developments of ``Galois ideas'' in Arithmetic, Complex Analysis, Transcendental Number Theory and Quantum ...

  19. exposition in a form suitable for the non-specialist. The authors are ...

    blms.oxfordjournals.org/content/9/2/234.full.pdf
    by A BAKER - Cited by 667 - Related articles
    TRANSCENDENTAL NUMBER THEORY. By ALAN BAKER: pp. x, 147. £4-90. (Cambridge University Press, 1975). This book provides a comprehensive ...
  20. [PDF] 

    Preface

    www.springer.com/cda/content/.../9780387214443-p1.pdf?...0-0...
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    At the heart of transcendental number theory lies an intriguing paradox: ... The phrase “classical transcendental number theory” in the title of this book ...
  21. [PDF] 

    Number Theory IV

    www.springer.com/productFlyer_978-3-540-61467-8.pdf?...0-0...
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    no specific background in transcendental number theory the book provides both an overview of the basic concepts and techniques and also a guide to the most ...
  22. [PDF] 

    Analytic Number Theory

    www.dms.umontreal.ca/~andrew/PDF/ConjFLT2.pdf
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    by BСBHG Diamond - Related articles
    algebraic, combinatorial and transcendental number theory. 2. Statement of Results. In order to exploit Lemma 1 it is obviously necessary to obtain informa- ...
  23. [PDF] 

    On transcendental number theory, classical analytic functions and ...

    www.phil.uu.nl/~iemhoff/Beauty/ZilberDay.pdf
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    On transcendental number theory, classical analytic functions and. Diophantine geometry. B. Zilber. University of Oxford http://www.maths.ox.ac.uk/. ˜ zilber/. 1 ...
  24. [PDF] 

    Combinatorics on Words: Applications to Number Theory and ...

    ion.uwinnipeg.ca/~nrampers/brandon_talk.pdf
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    Applications to Transcendental Number Theory. Theorem (Adamczewski and R. 2007). The binary expansion of an algebraic number contains infinitely many ...
  25. [PDF] 

    Chester Weatherby Contact and Personal Information Academic ...

    www.mast.queensu.ca/~cjwthrb/cv.pdf
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    10 Nov 2011 – Transcendental number theory, special values of zeta functions and L-series, multiple zeta values, values of gamma/digamma/polygamma ...
  26. [PDF] 

    DEGREES OF PERIODS 1. I In the wonderful ...

    www.cms.zju.edu.cn/UploadFiles/AttachFiles/201131121151147.pdf
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    by J WAN - Related articles
    new understanding of some problems in transcendental number theory. The zeta function of a period is defined and some its interesting properties are given. 1. ...
  27. [PDF] 

    Tales from the Dark Side - When mathematical logic meets number theory

    www.maths.bris.ac.uk/~maxsb/Lee%20Butler%20talk.pdf
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    Proving that given numbers are transcendental is the easy part. • Transcendental number theory is more concerned with algebraic relations, or their absence. ...
  28. [PDF] 

    18.786 Topics in Algebraic Number Theory, Lecture 6

    ocw.mit.edu/courses/.../18-786.../MIT18_786S10_lec6.pdf
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    transcendental number theory. (Baker won the Fields medal for his work on linear forms in logarithms, which provides the basis for many explicit methods ...
  29. [PDF] 

    Andrei Borisovich Shidlovsky

    www.numbertheory.org/pdfs/shidlovsky.pdf
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    23 Mar 2007 – Society. He has been awarded three orders and many medals. Shidlovsky's research results are in transcendental number theory, whose main ...
  30. [PDF] 

    Chapter One Hilbert's 7th Problem: It's statement and origins

    euclid.colorado.edu/~tubbs/courses/Chapter%20One.pdf
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    the development of transcendental number theory and to these lectures: • Summed the series 1/1k + 1/2k + 1/3k + ... for all k even, 2 ≤ k ≤ 26, which. 1 ...
  31. [PDF] 

    Chapter Six Hilbert's Seventh Problem and Transcendental Functions

    euclid.colorado.edu/~tubbs/courses/Chapter%20Six.pdf
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    has proven to be a fruitful one for transcendental number theory. Instead of ...straddles the line between classical and modern transcendental number theory— ...
  32. [PDF] 

    Transcendental Numbers and Diophantine Approximations Abstract

    coco-m.web.lynchburg.edu/T&P/transcendentalnumbers.pdf
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    number theory we will look particularly at Transcendental Number Theory and Diophantine. Approximations. In number theory, Diophantine Approximation deals ...
  33. [PDF] 

    p-adic gauge theory in number theory

    www.ms.u-tokyo.ac.jp/~t-saito/conf/rv/Leopoldt.pdf
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    These results ⇐ Transcendental number theory: In Brumer's case, p-adic regulator Rp is a product of. ¯. Q-linear forms of p-adic log of units. Then apply a ...
  34. [PDF] 

    The role of complex conjugation in transcendental number theory

    www.math.jussieu.fr/~miw/articles/pdf/DION2005BeamerVI.pdf
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    by M Waldschmidt - 2005 - Related articles
    in transcendental number theory. Michel Waldschmidt. Institut de Mathématiques de Jussieu + CIMPA http://www.math.jussieu.fr/∼miw/. December 17, 2005 ...
  35. [PDF] 

    An introduction to Diophantine analysis and transcendental number ...

    www.math.jussieu.fr/~miw/articles/pdf/PellFermatEn2010.pdf
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    April 15, 2010. IMPA http://www.impa.br/opencms/en/. Instituto Nacional de Matemática Pura e Aplicada. On the so-called Pell–Fermat Equation x2 − dy2 = ±1 ...
  36. [PDF] 

    THE MATHEMATICAL CONTRIBUTIONS OF SERGE LANG Based ...

    www.math.wustl.edu/~sk/books/langII.pdf
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    by MK Jorgenson - Cited by 1 - Related articles
    When Serge Lang started to work on transcendental number theory in the early ...Among the contributions of Lang to transcendental number theory (also to Dio- ...

  37. Transcendental numbers^ by Andrei B. Shidlovskii. Studies in ...

    www.ams.org/bull/.../S0273-0979-1991-16089-1.pdf - United States
    by G VAN DER GEER - 1991 - Related articles
    part of transcendental number theory dealing with the Gelfond-. Schneider method and its extensions have been given by Wald- schmidt [13, 14], Baker [1], ...

  38. f(z) = 2 2 A^^'

    www.ams.org/.../S0002-9947-1969-0260683-3.pdf - United States
    by R SPIRA - 1969 - Cited by 2 - Related articles
    A LEMMA IN TRANSCENDENTAL NUMBER THEORY. 459. Then there is an N0, such that for any particular N greater than N0, if the function f(z) has the form ...
  39. [PDF] 

    References

    www.math.brown.edu/~jhs/AEC/AECBibliography.pdf
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    Transcendental number theory. Cambridge Mathematical Library. Cam- bridge University Press, Cambridge, second edition, 1990. [12] A. Baker and J. Coates. ...
  40. [PDF] 

    TRANSCENDENTAL NUMBER THEORY BY ALAN BAKER

    wiki.zimbra.com/images/3/38/10273.pdf
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    The poison-bush becomes a fatal bait. Nuber speech was a by noble plea for the restoration of good feeling between North and South, with an effort by show ...
  41. [PDF] 

    International Mathematical Union

    www.mathunion.org/fileadmin/IMU/AO/2008-03.pdf
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    Diophantine approximation, transcendental number theory and geometry of numbers. Modular and automorphic forms, modular curves and Shimura varieties. ...
  42. [PDF] 

    Khodabakhsh Hessami Pilehrood

    math.ipm.ac.ir/hessami/CVKH.pdf
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    transcendental number theory, linear independence and irrationality, measures of irrationality and transcendence, hypergeometric functions, Riemann zeta ...
  43. [PDF] 

    Tatiana Hessami Pilehrood

    math.ipm.ac.ir/hessami/CVT.pdf
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    Transcendental number theory, diophantine approximations, linear independence and irrationality of numbers, measures of irrationality and of transcendence, ...
  44. [PDF] 

    Special Year in Number Theory

    www.imsc.res.in/~ntychennai/schedule-feb.pdf
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    Transcendental number theory: Elimination theory, linear independence and algebraic independence and irrationality of zeta values. P. Philippon ...
  45. [PDF] 

    ERGODIC THEORY ON HOMOGENEOUS SPACES AND METRIC ...

    people.brandeis.edu/~kleinboc/Pub/newsurveynp.pdf
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    by D KLEINBOCK - Cited by 2 - Related articles
    KAM theory, transcendental number theory. 2. Introduction. As the first example of refining the statement about the density of Q in R, consider a theorem by ...
  46. [PDF] 

    DBNS Final

    www.atips.ca/news/presentations/cas/ref20.pdf
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    by VS Dimitrov - Cited by 77 - Related articles
    canonic form leads to interesting problems in transcendental number theory. The canonic number system, however, appears to provide very fast carry-free ...
  47. [PDF] 

    Model-Checking Continuous-Time Markov Chains

    www.cparity.com/projects/AcmClassification/samples/343402.pdf
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    by A Aziz - 2000 - Cited by 259 - Related articles
    decidable; this is shown using results in algebraic and transcendental number theory. Categories and Subject Descriptors: D.2.4 [Software Engineering]: ...
  48. [PDF] 

    The role of complex conjugation in transcendental number theory

    hal.archives-ouvertes.fr/docs/00/41/14/.../DION2005proceedings.pdf
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    by M Waldschmidt - 2008 - Related articles
    27 Aug 2009 – Transcendental Number Theory. Michel Waldschmidt ... The Role of Complex Conjugation in Transcendental Number Theory. 3. Theorem 1.3 ...
  49. [PDF] 

    This issue is dedicated in honour of Prof. K. Ramachandra who ...

    mat.iitm.ac.in/home/samy/public_html/MNL-Sep11-CRC.PDF
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    to algebraic number theory, transcendental number theory and the theory of .... took up transcendental number theory and made remark- able contributions to ...

  50. Theory and Applications of the Double-Base Number System

    ieeexplore.ieee.org/iel5/12/17451/00805158.pdf?arnumber...
    by VS Dimitrov - 1999 - Cited by 77 - Related articles
    in transcendental number theory. The canonic number system, however, appears to provide very fast carry-free addition and is also suitable for multiplication. ...

  51. Auxiliary functions in transcendental number theory

    www.springerlink.com/index/f9617410h8863434.pdf
    by M Waldschmidt - 2009 - Cited by 1 - Related articles
    Keywords Transcendental number theory · Auxiliary functions · Exponential function · Pade approximation · Lagrange interpolation · Integer valued functions · ...
  52. [PDF] 

    The computation of classical constants

    www.ncbi.nlm.nih.gov/pmc/articles/.../pdf/pnas00288-0013.pdf
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    by DV Chudnovsky - 1989 - Cited by 23 - Related articles
    geometry is the main focus of transcendental number theory. Typical questions include: are the constants irrational, tran- scendental, algebraically independent? ...
  53. [PDF] 

    The Riemann zeta function and related themes

    www.intlpress.com/books/_preview/9781571461872.pdf
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    dents, especially T.N. Shorey, took up transcendental number theory and made remarkable contributions to the Baker theory and its applications to problems ...
  54. [PDF] 

    NUMBER THEORY

    www.worldscibooks.com/catalogues/ntrt10.pdf
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    diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, ...
  55. [PDF] 

    Shortest Path amidst Disc Obstacles is Computable

    www.math.jnu.ac.kr/doyong/paper/shortestPath.pdf
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    by EC Chang - Cited by 25 - Related articles
    from transcendental number theory, we further show a single-exponential time ... It is also a rare example of transcendental number theory yielding positive ...
  56. [PDF] 

    Algebraic and transcendental solutions of some exponential equations

    ami.ektf.hu/uploads/papers/finalpdf/AMI_37_from151to164.pdf
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    by J Sondowa - 2010 - Cited by 2 - Related articles
    Transcendental number theory began in 1844 with Liouville's explicit construction of the first transcendental numbers. In 1872 Hermite proved that e is transcen- ...
  57. [PDF] 

    Classification theory for abstract elementary classes

    www.aimath.org/pastworkshops/categoricityrep.pdf
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    by R Grossberg - Cited by 65 - Related articles
    transcendental number theory might be true. The conjecture implies (among many stronger results) that e + π is a transcendental number. As we did not think ...
  58. [PDF] 

    DEGREES OF PERIODS 1. I In the wonderful ...

    210.32.0.151/UploadFiles/AttachFiles/201121111728141.pdf
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    by J WAN - Related articles
    something for transcendental number theory? From Grothendieck's motive point of view, period is a suitable category for building a Galois theory (called motive ...
  59. [PDF] 

    CPY Document

    www.math.ou.edu/~jalbert/courses/.../miller_knguyen.pdf
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    focuses not distinctly on irrationality, but also it focuses on transcendental number theory because the understanding of transcendental numbers is required in ...
  60. [PDF] 

    Contents

    www.math.nus.edu.sg/~urops/Projects/numbers.pdf
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    [1] Transcendental Number Theory: http://www.math.sc.edu/ filaseta/gradcourses/Math785/notes785.html,. [2] Andrei Borisvich Shidlovskii: ...
  61. [PDF] 

    MATHEMATICS NEWSLETTER

    www.ramanujanmathsociety.org/mnl/Sept2011/Sept2011-mnl.pdf
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    to algebraic number theory, transcendental number theory and the theory of .... took up transcendental number theory and made remark- able contributions to ...
  62. [PDF] 

    Research Statement

    cs1.cs.nyu.edu/sharma/stmnt.pdf
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    conjecture in transcendental number theory. I also want to ... Furthermore, using ideas from transcendental number theory, I want to expand the present scope of ...
  63. [PDF] 

    Discrepancy estimates for the value-distribution of the Riemann zeta ...

    matwbn.icm.edu.pl/ksiazki/aa/aa48/aa4824.pdf
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    Combining this inequality with a result on transcendental number theory. (Waldschmidt [10]], we can deduce the estimate of. We note that a geometric lemma is...
  64. [PDF] 

    Involutions on Zilber fields

    poisson.phc.unipi.it/~mantova/files/slides/slides_0.pdf
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    by V Mantova - Related articles
    12 Jul 2011 – standing conjecture in transcendental number theory. Conjecture (Schanuel). For any z1,...,zn ∈ C linearly independent over Q, tr.deg. Q. (z1,... ...
  65. [PDF] 

    DIOPHANTINE INEQUALITIES AND IRRATIONALITY MEASURES FOR CERTAIN ...

    www.new1.dli.ernet.in/data1/upload/insa/...1/20005b08_1591.pdf
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    Baker, Transcendental Number Theory, Cambridge and London, Cambridge University Press 1979. B. Burger, Proc. Amer. Math Soc. 124 (1996) 3305-10. ...
  66. [PDF] 

    Ramanujan, Modular Equations, and Approximations to Pi or

    mathdl.maa.org/images/upload_library/.../BorweinBorweinBailey.pdf
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    by DH Bailey - Cited by 108 - Related articles
    A. Baker, Transcendental Number Theory, Cambridge Univ. Press, London, 1975. 5. P. Beckrnann, A History of Pi, 4th ed., Golem Press, Boulder, CO, 1977. 6. ...
  67. [PDF] 

    On Some Non-Holonomic Sequences

    www.risc.jku.at/publications/download/risc.../nonholonomic.pdf
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    by S Gerhold - 2005 - Cited by 21 - Related articles
    to rely on an open conjecture from transcendental number theory. Mathematics Subject Classifications: 11B37, 11R32, 11J81. 1 Introduction. A sequence u : N ...
  68. [PDF] 

    GRIMM'S CONJECTURE AND SMOOTH NUMBERS In 1969, C.A. ...

    www.isid.ac.in/~shanta/PAPERS/GCnSN.pdf
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    by S LAISHRAM - Cited by 1 - Related articles
    The question of obtaining lower bounds for g(n) was attacked using methods fromtranscendental number theory by Ramachandra, Shorey and. Tijdeman [15] ...
  69. [PDF] 

    On Some Non-Holonomic Sequences

    www.combinatorics.org/Volume_11/PDF/v11i1r87.pdf
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    by S Gerhold - 2004 - Cited by 21 - Related articles
    15 Oct 2003 – to rely on an open conjecture from transcendental number theory. 1 Introduction. A sequence u : N → C is called holonomic (P-recursive, ...
  70. [PDF] 

    The simultaneous stabilizability question of three linear systems is ...

    www.inma.ucl.ac.be/~blondel/publications/94BG-simstab.pdf
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    by V Blondel - 1992 - Cited by 83 - Related articles
    Proof. Our proof is based on a result contained in the third section of the last chapter of 'Transcendental number theory' (A. Baker, p. 158, [4]). This result states: ...
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    The University of Arizona The Southwest Center for Arithmetic ...

    swc.math.arizona.edu/aws/2008/08WaldschmidtOutline.pdf
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    by M Waldschmidt - Related articles
    7 Dec 2007 – The main open problem in transcendental number theory: Schanuel's. Conjecture. 4.1 Statement of the Conjecture. List of known special cases. ...
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    DETECTING PERFECT POWERS BY FACTORING INTO ...

    cr.yp.to/lineartime/powers2-20060914-ams.pdf
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    by DJ BERNSTEIN - 2007 - Cited by 13 - Related articles
    14 Sep 2006 – allows a proof of the b(lg b)O(1) bound without much background; the previous proof of b1+o(1) relied on transcendental number theory. ...
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    A Smorgasbord of Applications of Fourier Analysis to Number Theory

    home.wlu.edu/~baczkowskid/talks/.../appl_analysis_to_nt-PAPER.pd...
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    numerous books and, in fact, can be found in Michael Filaseta's class notes forTranscendental number theory which will be offered next semester, ...
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    EULER-LEHMER CONSTANTS AND A CONJECTURE OF ERD¨OS

    www.math.tifr.res.in/~saradha/eulergammas.pdf
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    by MR Murty - 2009 - Cited by 5 - Related articles
    [1] A. Baker, Transcendental Number Theory, Cambridge University. Press, 1975. [2] A. Baker, B. Birch and E. Wirsing, On a problem of Chowla, Journal ...
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    POINTERS TO REU PAPER TOPICS (IN AND AROUND MODEL ...

    www.math.uchicago.edu/~may/VIGRE/.../logic-problems.pdf
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    Theorem. Alternately, one could investigate Zilber's program to prove Schanuel's conjecture in transcendental number theory (also discussed in Baldwin's book). ...
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    Problems in Elementary Number Theory

    www.math.muni.cz/~bulik/vyuka/pen-20070711.pdf
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    by P Vandendriessche - 2007 - Cited by 1 - Related articles
    1This is a deep theorem in transcendental number theory. Note that it follows from this result that π is irrational! In fact, it's known that for sufficiently large q, the ...
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    Discrete Logarithms in GF(p) using the Number Field Sieve

    www.ccrwest.org/gordon/log.pdf
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    by DM Gordon - 1992 - Cited by 234 - Related articles
    [3] A. Baker, Transcendental Number Theory, Cambridge University Press,. Cambridge, 1975. [4] E.R. Berlekamp, Factoring polynomials over large finite fields, ...
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    8 The Gelfond-Schneider Theorem and Some Related Results

    www.math.sc.edu/~filaseta/gradcourses/Math785/Math785Notes8.pdf
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    To further illustrate some directions that transcendental number theory has taken and how such results can be applied to other areas of number theory, we give ...

  79. ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME ...

    iopscience.iop.org/0025-5734/51/1/A02/pdf/MSB_51_1_A02.pdf
    by YV Nesterenko - 1985 - Cited by 9 - Related articles
    is small, arises in the study of certain problems in transcendental number theory. In this article we prove an inequality which holds forν > 1 (Theorem 1). ...
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    Interpolation on algebraic groups

    www.math.u-psud.fr/~fischler/interpolation.pdf
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    by S Fischler - 2005 - Cited by 5 - Related articles
    This statement is 'dual' to zero estimates used in transcendental number theory. The special case where no multiplicities are involved has been proved by ...
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    Name: Ahmed Abd Elgwad Elawady Elsonbaty Date of birth ...

    www.taibahu.edu.sa/app_content/.../file/د_احمد%20السنباطي.pdf
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    1- Number Theory (effective approximation – transcendental number theory). 2- Graph labelling and its applications. 3- Mathematical Logic. - Lecturing and ...
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    AMS Mathematics Subject Classification W&I

    media.leidenuniv.nl/.../ams-mathematics-subject-classification-w%26i...
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    Diophantine approximation, transcendental number theory. 23.04. 11K. Probabilistic theory: distribution modulo 1; metric theory of algorithms. 23.04. 11L ...
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    Analytic Bezout identities*

    www.math.u-bordeaux1.fr/~yger/analyticBezout.pdf
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    by C BERENSTEIN - 1989 - Cited by 34 - Related articles
    1 Apr 2011 – In several contexts, for instance, in transcendental number theory, one is interested in finding the solutions hi,. . . , h, of the algebraic Bezout ...
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    REFERENCES.

    deweger.xs4all.nl/proefschrift/proefschrift-referenties.pdf
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    Transcendental Number Theory, July 1986, to appear. (1.1). Faltings, G. [1983] , Endlichkeitssatze fur abelsche Varietaten ilber. Zahlkorpern, Invent. Math. ...
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    Fermat: The Founder of Modern Number Theory Author(s): Israel ...

    math.ncc.metu.edu.tr/content/courses/previous/.../files/kleiner1.pdf
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    by I KLEINER - 2005 - Cited by 6 - Related articles
    A. Baker, Transcendental Number Theory, Cambridge Univ. Press, Cambridge, UK, 1990. 5. K. Bamer, How old did Fermat become?, NTM, Intern. Jour. ...
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    q ( )

    www.fync.edu.cn:8080/2005jpkc/nzx2/double/sxwlflztc.pdf
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    11J Diophantine approximation, transcendental number theory. -. 11K Probabilistic theory: distribution modulo1; metric theory of algorithms ...
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    DETECTING PERFECT POWERS IN ESSENTIALLY LINEAR TIME 1 ...

    www.dcc.unicamp.br/~rdahab/.../DBernstein_powers-ams.pdf
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    by DJ BERNSTEIN - 1998 - Cited by 65 - Related articles
    For readers interested in transcendental number theory. One of my major tools is of independent theoretical interest. Section 19 contains a corrected proof ...
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    The Number of Solutions of Bounded Height

    deepblue.lib.umich.edu/bitstream/2027.42/30992/1/0000667.pdf
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    by JL Thunder - 1993 - Cited by 12 - Related articles
    example, in transcendental number theory and Diophantine approximation one is often led to the construction of certain auxiliary polynomials with suitable ...
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    NON-VANISHING OF DERIVATIVES OF L-FUNCTIONS ATTACHED ...

    www.math.okstate.edu/~ntanabe/non-vanishing.pdf
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    by N TANABE - 2011 - Related articles
    13 Oct 2011 – The theorem leads us to some applications in transcendental number theory, as in [1]. See Corollary 3.2 and 3.3. Acknowledgement: The ...
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    Differential Chow Form

    mmrc.iss.ac.cn/~dart4/slides/Chunming.pdf
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    theory, transcendental number theory, complexity analysis, etc. Differential Chow form is not studied before. Differential Resultant. Resultant as a powerful tool is ...
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    Research Statement

    www.math.tugraz.at/~widmer/.../Researchstatement.pdf
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    by M Widmer - 2010 - Related articles
    27 Oct 2010 – analysis, transcendental number theory, Diophantine approximation, arithmetic of dynamical sys- tems, etc. Moreover, they have also some ...
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    ERGODIC THEORY: INTERACTIONS WITH COMBINATORICS AND ...

    https://ueaeprints.uea.ac.uk/19783/1/ward.pdf
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    Studies, No. 53. Princeton University Press, Princeton, N.J., 1963. 4. A. Baker.Transcendental number theory. Cambridge Mathematical Library. Cambridge Uni- ...
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    Differential Chow Form and Differential Resultant

    www.sci.ccny.cuny.edu/~ksda/PostedPapers/WeiLi111811.pdf
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    geometry with fruitful applications in elimination theory, transcendental number theory, complexity analysis, etc. Differential Chow form is not studied before. ...
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    DIOPHANTINE INEQUALITIES AND IRRATIONALITY MEASURES ...

    www.dli.gov.in/rawdataupload/upload/insa/.../20005b08_1591.pdf
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    by EB BURGERT - Related articles
    Baker, Transcendental Number Theory, Cambridge and London, Cambridge University Press 1979. B. Burger, Proc. Amer. Math Soc. 124 (1996) 3305-10. ...
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    Introduction to Mathematics

    www.cs.utexas.edu/~gene/site/Publications_files/math-lecture04.pdf
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    Subfields: Algebraic/Analytic/Transcendental Number Theory, Congruence, Elliptic Curves, Prime Numbers, etc. 1.9 Discrete Mathematics (이산수학, 離散數學) ...

  96. Inhomogeneous norm form equations in two dominating variables ...

    www.akademiai.com/index/w510533769h5k781.pdf
    by B Brindza - 1987 - Cited by 1 - Related articles
    [2] A. Baker, Transcendental number theory (2nd ed.) (Cambridge, 1979). [3] B. Brindza, On the equation F(x, y)=z m over function fields, Acta Math. Hungar., 49 ...
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    MMath Projects Samir Siksek

    www.warwick.ac.uk/~masda/MA469/Siksek_Projects.pdf
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    references. References. 1. A. Baker, Transcendental Number Theory, Cambridge University Press. 2. I. Stewart, Galois Theory, Chapman and Hall/CRC.
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    Overlap-Free Words and Generalizations

    www.cs.uwaterloo.ca/~shallit/narad_phd.pdf
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    by N Rampersad - 2007 - Cited by 2 - Related articles
    to prove deep results in transcendental number theory. Two good surveys ... an application of the theory of overlap-free words to transcendental number theory, ...
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    PERIODS OF STREBEL DIFFERENTIALS AND ALGEBRAIC ...

    www.math.ucdavis.edu/~mulase/texfiles/trans5.pdf
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    by M MULASE - 2001 - Cited by 4 - Related articles
    [1] Alan Baker, Transcendental number theory, Cambridge University Press, 1990. [2] G. V. Belyi, On galois extensions of a maximal cyclotomic fields, Math. ...
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    Exponential and Weierstrass equations

    www.newton.ac.uk/programmes/MAA/seminars/040810301.pdf
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    by J Kirby - 2005 - Cited by 3 - Related articles
    8 Apr 2005 – x1,...,xn,e xn) − ldim. Q. (x1. ,...,xn) ⩾ 0. A conjecture in transcendental number theory – wide open. There is a similar conjecture for ℘-functions. ...

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