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Number Theory

New York Seminar 1989–1990

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. David V. Chudnovsky

    1. Department of Mathematics, Columbia University, New York, USA

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  2. Gregory V. Chudnovsky

    1. Department of Mathematics, Columbia University, New York, USA

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  3. Harvey Cohn

    1. Department of Mathematics, City University of New York, New York, USA

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  4. Melvyn B. Nathanson

    1. Lehman College, City University of New York, Bronx, USA

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Table of contents (13 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Moduli of Abelian Varieties

    • Ching-Li Chai
    Pages 1-11

  3. Classical Constants and Functions: Computations and Continued Fraction Expansions

    • D. V. Chudnovsky, G. V. Chudnovsky
    Pages 13-74

  4. Some Special Complex Multiplications in Two Variables Using Hilbert Singular Moduli

    • Harvey Cohn
    Pages 75-83

  5. A Numerical Survey of the Reduction of Modular Curve Genus by Fricke’s Involutions

    • Harvey Cohn
    Pages 85-104

  6. Conjectures Relating to a Generalization of the Ramanujan Tau Function

    • Jesse Ira Deutsch
    Pages 105-118

  7. The Set of Multiples of a Short Interval

    • R. R. Hall, G. Tenenbaum
    Pages 119-128

  8. Comparison of Maaß Wave Forms

    • Jonathan Huntley
    Pages 129-147

  9. Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields by Integer Lattice Reduction

    • Erich Kaltofen, Noriko Yui
    Pages 149-202

  10. On Certain q-Polynomials

    • Joseph Lewittes
    Pages 203-210

  11. A Gap Theorem for Differentially Algebraic Power Series

    • Leonard Lipshitz, Lee A. Rubel
    Pages 211-214

  12. Class Number Formulas for Imaginary Pure Quartic Number Fields

    • Curt Meyer
    Pages 215-227

  13. Rational Desingularization of a Curve Defined Over a Finite Field

    • A. T. Vasquez
    Pages 229-250

  14. Special Values of Zeta-Functions of Fermat Varieties over Finite Fields

    • Noriko Yui
    Pages 251-275
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Keywords

About this book

New York Number Theory Seminar started its regular meeting in January, 1982. The Seminar has been meeting on a regular basis weekly during the academic year since then. The meeting place of the seminar is in midtown Manhattan at the Graduate School and University Center of the City Uni­ versity of New York. This central location allows number-theorists in the New York metropolitan area and vistors an easy access. Four volumes of the Seminar proceedings, containing expanded texts of Seminar's lectures had been published in the Springer's Lecture Notes in Mathematics series as volumes 1052 (1984), 1135 (1985), 1240 (1987), and 1383 (1989). Seminar co­ chairmen are pleased that some of the contributions to the Seminar opened new avenues of research in Number Theory and related areas. On a histori­ cal note, one of such contributions proved to be a contribution by P. Landweber. In addition to classical and modern Number Theory, this Semi­ nar encourages Computational Number Theory. This book presents a selection of invited lectures presented at the New York Number Theory Seminar during 1989-1990. These papers cover wide areas of Number Theory, particularly modular functions, Aigebraic and Diophantine Geometry, and Computational Number Theory. The review of C-L. Chai presents a broad view of the moduli of Abelian varieties based on recent work of the author and many other prominent experts. This provides the reader interested in Diophantine Analysis with access to state of the art research. The paper of D. V. and G. V.

Editors and Affiliations

  • Department of Mathematics, Columbia University, New York, USA

    David V. Chudnovsky, Gregory V. Chudnovsky

  • Department of Mathematics, City University of New York, New York, USA

    Harvey Cohn

  • Lehman College, City University of New York, Bronx, USA

    Melvyn B. Nathanson

Bibliographic Information

  • Book Title: Number Theory

  • Book Subtitle: New York Seminar 1989–1990

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

  • DOI: https://doi.org/10.1007/978-1-4757-4158-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1991

  • eBook ISBN: 978-1-4757-4158-2Published: 21 November 2013

  • Edition Number: 1

  • Number of Pages: VIII, 275

  • Number of Illustrations: 13 b/w illustrations

  • Topics: Number Theory

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