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Emerging Applications of Number Theory

  • Dennis A. Hejhal
  • Joel Friedman
  • Martin C. Gutzwiller
  • Andrew M. Odlyzko

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 109)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jens Bolte, Stefan Johansson
    Pages 39-72
  3. Bruno Eckhardt
    Pages 187-199
  4. Isaac Efrat
    Pages 201-204
  5. Charles L. Fefferman, Luis A. Seco
    Pages 205-218
  6. Akio Fujii
    Pages 219-267
  7. Dmitry Jakobson, Stephen D. Miller, Igor Rivin, Zeév Rudnick
    Pages 317-327
  8. Lev Kapitanski, Igor Rodnianski
    Pages 355-371
  9. John D. Lafferty, Daniel N. Rockmore
    Pages 373-386
  10. Wen-Ching Winnie Li
    Pages 387-403
  11. Sam Northshield
    Pages 469-478
  12. Jeffrey Shallit
    Pages 547-570
  13. Yehuda Shalom
    Pages 571-581
  14. Harold M. Stark
    Pages 601-615
  15. Audrey Terras
    Pages 643-681
  16. Back Matter
    Pages 683-697

About this book

Introduction

Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern number-theoretical techniques.

Keywords

Hypergraph Lattice coding theory cryptography graph theory graphs number theory

Editors and affiliations

  • Dennis A. Hejhal
    • 1
  • Joel Friedman
    • 2
  • Martin C. Gutzwiller
    • 3
  • Andrew M. Odlyzko
    • 4
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  3. 3.IBM Thomas J. Watson Research CenterYorktown HeightsUSA
  4. 4.AT&T Labs—ResearchFlorham ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1544-8
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7186-4
  • Online ISBN 978-1-4612-1544-8
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site
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