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The IMA Volumes in Mathematics and its Applications

Emerging Applications of Number Theory

Editors: Hejhal, D.A., Friedman, J., Gutzwiller, M.C., Odlyzko, A.M. (Eds.)

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  • ISBN 978-1-4612-1544-8
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Hardcover $139.99
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Softcover $109.99
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About this book

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.

Table of contents (28 chapters)

Table of contents (28 chapters)
  • Trace Formula for Quantum Integrable Systems, Lattice-Point Problem, and Small Divisors

    Pages 1-38

    Bleher, Pavel

  • Theta-Lifts of Maass Waveforms

    Pages 39-72

    Bolte, Jens (et al.)

  • The Transfer Operator Approach to Selberg’s Zeta Function and Modular and Maass Wave Forms For P S L (2, ℤ)

    Pages 73-141

    Chang, Cheng-Hung (et al.)

  • Chaos and Deviation from Uniform Distribution: Eigenfunction Computation; Applied Modular Arithmetic

    Pages 143-174

    Chudnovsky, David V. (et al.)

  • Logarithmic Sobolev Techniques for Random Walks on Graphs

    Pages 175-186

    Chung, Fan

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-1-4612-1544-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-387-98824-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-1-4612-7186-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Emerging Applications of Number Theory
Editors
  • Dennis A. Hejhal
  • Joel Friedman
  • Martin C. Gutzwiller
  • Andrew M. Odlyzko
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
109
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-1544-8
DOI
10.1007/978-1-4612-1544-8
Hardcover ISBN
978-0-387-98824-5
Softcover ISBN
978-1-4612-7186-4
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XIII, 697
Topics