Mathematics and Its Applications

Topics in Number Theory

In Honor of B. Gordon and S. Chowla

Editors: Ahlgren, Scott D., Andrews, George E, Ono, Ken (Eds.)

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About this book

From July 31 through August 3,1997, the Pennsylvania State University hosted the Topics in Number Theory Conference. The conference was organized by Ken Ono and myself. By writing the preface, I am afforded the opportunity to express my gratitude to Ken for beng the inspiring and driving force behind the whole conference. Without his energy, enthusiasm and skill the entire event would never have occurred. We are extremely grateful to the sponsors of the conference: The National Sci­ ence Foundation, The Penn State Conference Center and the Penn State Depart­ ment of Mathematics. The object in this conference was to provide a variety of presentations giving a current picture of recent, significant work in number theory. There were eight plenary lectures: H. Darmon (McGill University), "Non-vanishing of L-functions and their derivatives modulo p. " A. Granville (University of Georgia), "Mean values of multiplicative functions. " C. Pomerance (University of Georgia), "Recent results in primality testing. " C. Skinner (Princeton University), "Deformations of Galois representations. " R. Stanley (Massachusetts Institute of Technology), "Some interesting hyperplane arrangements. " F. Rodriguez Villegas (Princeton University), "Modular Mahler measures. " T. Wooley (University of Michigan), "Diophantine problems in many variables: The role of additive number theory. " D. Zeilberger (Temple University), "Reverse engineering in combinatorics and number theory. " The papers in this volume provide an accurate picture of many of the topics presented at the conference including contributions from four of the plenary lectures.

Table of contents (17 chapters)

  • Motivating the Multiplicative Spectrum

    Granville, Andrew (et al.)

    Pages 1-15

  • Modular Mahler Measures I

    Villegas, F. Rodriguez

    Pages 17-48

  • Diophantine Problems in Many Variables: The Role of Additive Number Theory

    Wooley, Trevor D.

    Pages 49-83

  • Equations F(x,y,α x ) = 0

    Ahlgren, Scott

    Pages 85-100

  • A Fundamental Invariant in the Theory of Partitions

    Alladi, Krishnaswami

    Pages 101-113

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-1-4613-0305-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-7923-5583-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4613-7988-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Number Theory
Book Subtitle
In Honor of B. Gordon and S. Chowla
Editors
  • Scott D. Ahlgren
  • George E Andrews
  • Ken Ono
Series Title
Mathematics and Its Applications
Series Volume
467
Copyright
1999
Publisher
Springer US
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-1-4613-0305-3
DOI
10.1007/978-1-4613-0305-3
Hardcover ISBN
978-0-7923-5583-0
Softcover ISBN
978-1-4613-7988-1
Edition Number
1
Number of Pages
VIII, 264
Topics