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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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eBook 101,14 €
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  • ISBN 978-1-4612-1544-8
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  • Immediate eBook download after purchase
Hardcover 208,00 €
price for Spain (gross)
  • ISBN 978-0-387-98824-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,79 €
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  • ISBN 978-1-4612-7186-4
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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)

  • Trace Formula for Quantum Integrable Systems, Lattice-Point Problem, and Small Divisors

    Bleher, Pavel

    Pages 1-38

    Preview Buy Chapter 30,19 €
  • Theta-Lifts of Maass Waveforms

    Bolte, Jens (et al.)

    Pages 39-72

    Preview Buy Chapter 30,19 €
  • The Transfer Operator Approach to Selberg’s Zeta Function and Modular and Maass Wave Forms For P S L (2, ℤ)

    Chang, Cheng-Hung (et al.)

    Pages 73-141

    Preview Buy Chapter 30,19 €
  • Chaos and Deviation from Uniform Distribution: Eigenfunction Computation; Applied Modular Arithmetic

    Chudnovsky, David V. (et al.)

    Pages 143-174

    Preview Buy Chapter 30,19 €
  • Logarithmic Sobolev Techniques for Random Walks on Graphs

    Chung, Fan

    Pages 175-186

    Preview Buy Chapter 30,19 €

Buy this book

eBook 101,14 €
price for Spain (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 208,00 €
price for Spain (gross)
  • ISBN 978-0-387-98824-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,79 €
price for Spain (gross)
  • ISBN 978-1-4612-7186-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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