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Number Theory

A Seminar held at the Graduate School and University Center of the City University of New York 1985-88

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. David V. Chudnovsky
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  2. Gregory V. Chudnovsky
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  3. Harvey Cohn
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  4. Melvyn B. Nathanson
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1383)

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Table of contents (14 papers)

  1. Front Matter

    Pages I-IV
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  2. Some conjectured relationships between theta functions and eisenstein series on the metaplectic group

    • Daniel Bump, Jeffrey Hoffstein
    Pages 1-11

  3. Computational problems in arithmetic of linear differential equations. Some diophantine applications

    • D. V. Chudnovsky, G. V. Chudnovsky
    Pages 12-49

  4. Iteration of two-valued modular equations

    • Harvey Cohn
    Pages 50-58

  5. Report on transcendency in the theory of function fields

    • David Goss
    Pages 59-63

  6. Exponential sums and faster than Nyquist signaling

    • D. Hajela
    Pages 64-75

  7. Some new applications of the large sieve

    • Adolf Hildebrand
    Pages 76-88

  8. Elliptic fiberings of Kummer surfaces

    • William L. Hoyt
    Pages 89-110

  9. Recent developments in the theory of rational period functions

    • M. I. Knopp
    Pages 111-122

  10. Additive problems in combinatorial number theory

    • Melvyn B. Nathanson
    Pages 123-139

  11. Growth of order of homology of cyclic branched covers of knots

    • Robert Riley
    Pages 140-145

  12. Hybrid problems in number theory

    • A. Sárközy
    Pages 146-169

  13. Binomial coefficients not divisible by a prime

    • Alan H. Stein
    Pages 170-177

  14. Positive characteristic calculus and icebergs

    • Moss E. Sweedler
    Pages 178-185

  15. Arithmetic of certain algebraic surfaces over finite fields

    • Noriyuki Suwa, Noriko Yui
    Pages 186-256

  16. Back Matter

    Pages 257-258
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Keywords

About this book

The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.

Bibliographic Information

  • Book Title: Number Theory

  • Book Subtitle: A Seminar held at the Graduate School and University Center of the City University of New York 1985-88

  • Editors: David V. Chudnovsky, Gregory V. Chudnovsky, Harvey Cohn, Melvyn B. Nathanson

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083565

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51549-4Published: 06 September 1989

  • eBook ISBN: 978-3-540-46640-6Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: V, 258

  • Topics: Number Theory, Algebra

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