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Number Theory

New York Seminar 2003

  • Book
  • © 2004

Overview

Editors:
  1. David Chudnovsky

    1. Department of Mathematics, Polytechnic University, Brooklyn, USA

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  2. Gregory Chudnovsky

    1. Department of Mathematics, Polytechnic University, Brooklyn, USA

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  3. Melvyn Nathanson

    1. Department of Mathematics & Computer Science, Lehman College, West Bronx, USA

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  • Contains new research in the field of number theory

  • None of these papers have been previously published

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. The spanning number and the independence number of a subset of an abelian group

    • Béla Bajnok
    Pages 1-16

  3. A formula related to the Frobenius problem in two dimensions

    • Matthias Beck, Sinai Robins
    Pages 17-23

  4. One Bit World

    • David V. Chudnovsky, Gregory V. Chudnovsky
    Pages 25-60

  5. Use of Padé Approximations in Spline Construction

    • David V. Chudnovsky, Gregory V. Chudnovsky
    Pages 61-86

  6. Interactions between number theory and operator algebras in the study of the Riemann zeta function (d’après Bost-Connes and Connes)

    • Paula B. Cohen
    Pages 87-103

  7. A Hyperelliptic Curve with Real Multiplication of Degree Two

    • Harvey Cohn
    Pages 105-131

  8. Humbert’s Conic Model and the Kummer Surface

    • Harvey Cohn
    Pages 133-147

  9. Arithmeticity and Theta Correspondence on an Orthogonal Group

    • Ze-Li Dou
    Pages 149-165

  10. Morphic Heights and Periodic Points

    • M. Einsiedler, G. Everest, T. Ward
    Pages 167-177

  11. The Elementary Proof of the Prime Number Theorem: An Historical Perspective

    • D. Goldfeld
    Pages 179-192

  12. Additive Bases Representations and the Erdős-Turán Conjecture

    • G. Grekos, L. Haddad, C. Helou, J. Pihko
    Pages 193-200

  13. The boundary structure of the sumset in Z 2

    • Shu-Ping Sandie Han
    Pages 201-218

  14. On NTU’S in Function Fields

    • Howard Kleiman
    Pages 219-220

  15. Continued Fractions and Quadratic Irrationals

    • Joseph Lewittes
    Pages 221-252

  16. The inverse problem for representation functions of additive bases

    • Melvyn B. Nathanson
    Pages 253-262

  17. On the ubiquity of Sidon sets

    • Melvyn B. Nathanson
    Pages 263-272
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Keywords

About this book

This volume marks the 20th anniversary of the New York Number Theory Sem­ inar (NYNTS). The seminar began to meet in the Spring, 1982 semester at the CUNY Graduate Center in midtown Manhattan, and has been meeting contin­ uously at the Graduate Center for two decades, even as the Graduate Center moved from its original location on 42nd Street near Fifth Avenue to tempo­ rary quarters in an office building next to Grand Central Station to a new and elegant building in the former B. Altman department store on Fifth Avenue betwen 34th and 35th Streets. The seminar was originally organized by Harvey Cohn, David and Gregory Chudnovsky, and Melvyn B. Nathanson. In 1982, Harvey Cohn was at City College (CUNY) and the Graduate Center, the Chudnovskys were at Columbia, and Mel Nathanson was at Rutgers. Today, Harvey has retired to California, the Chudnovskys are at Polytechic University of New York, and Nathanson is at Lehman College (CUNY) and the Graduate Center.

Editors and Affiliations

  • Department of Mathematics, Polytechnic University, Brooklyn, USA

    David Chudnovsky, Gregory Chudnovsky

  • Department of Mathematics & Computer Science, Lehman College, West Bronx, USA

    Melvyn Nathanson

Bibliographic Information

  • Book Title: Number Theory

  • Book Subtitle: New York Seminar 2003

  • Editors: David Chudnovsky, Gregory Chudnovsky, Melvyn Nathanson

  • DOI: https://doi.org/10.1007/978-1-4419-9060-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 2004

  • Hardcover ISBN: 978-0-387-40655-8Published: 08 January 2004

  • Softcover ISBN: 978-1-4612-6490-3Published: 21 October 2012

  • eBook ISBN: 978-1-4419-9060-0Published: 27 June 2011

  • Edition Number: 1

  • Number of Pages: VIII, 272

  • Topics: Number Theory

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