Equidistribution in Number Theory, An Introduction

  • Andrew Granville
  • Zeév Rudnick
Part of the NATO Science Series book series (NAII, volume 237)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Andrew Granville, Zeév Rudnick
    Pages 1-13
  3. Andrew Granville, K. Soundararajan
    Pages 15-27
  4. K. Soundararajan
    Pages 59-83
  5. Andrew Granville, Zeév Rudnick
    Pages 85-92
  6. Andrew Granville
    Pages 93-102
  7. Ulrich Derenthal, Yuri Tschinkel
    Pages 169-196
  8. S. De Bièvre
    Pages 305-330
  9. Zeév Rudnick
    Pages 331-342
  10. Back Matter
    Pages 343-345

About these proceedings

Introduction

From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series “Seminaire ´ de mathematiques ´ superieures”, ´ was held at the U- versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t- ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre- ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly inter-related or do not requirealotofbackgroundtounderstand.

Keywords

Chemistry Mathematics NATO Physics Prime Prime number Science Series II algebraic varieties calculus cryptography number theory quantum chaos

Editors and affiliations

  • Andrew Granville
    • 1
  • Zeév Rudnick
    • 2
  1. 1.University of Montréal, QC,Canada
  2. 2.Tel-Aviv UniversityIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-5404-4
  • Copyright Information Springer 2007
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4020-5402-0
  • Online ISBN 978-1-4020-5404-4
  • Series Print ISSN 1568-2609