An edition of Emerging Applications of Number Theory (1999)

Emerging Applications of Number Theory

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Cover of: Emerging Applications of Number Theory by Dennis A. Hejhal
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An edition of Emerging Applications of Number Theory (1999)

Emerging Applications of Number Theory

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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.

Publish Date
Publisher
Springer New York
Language
English
Pages
697

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Previews available in: English

Subjects
Mathematics, Combinatorial analysis, Number theory

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Edition Availability
Cover of: Emerging Applications of Number Theory
Emerging Applications of Number Theory
Jan 19, 2012, Springer
paperback
Libraries near you: WorldCat
Cover of: Emerging Applications of Number Theory
Emerging Applications of Number Theory
1999, Springer New York
electronic resource / in English
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Libraries near you: WorldCat

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Book Details

Table of Contents

Trace formula for quantum integrable systems, lattice-point problem, and small divisors
Theta-lifts of Maass waveforms
The transfer operator approach to Selberg's zeta function and modular and Maass wave forms for PSL (2,ZZ)
Chaos and deviation from uniform distribution: eigenfunction computation; applied modular arithmetic
Logarithmic Sobolev techniques for random walks on graphs
Eigenvalue statistics in quantum ideal gases
Multifractal spectrum and Laplace spectrum
Number theory and atomic densities
Explicit formulas and oscillations
Energy fluctuation analysis in integrable billiards;- in hyperbolic geometry
On eigenfunctions of the Laplacian for Hecke triangle groups
Eigenvalue spacings for regular graphs
Classical limits of eigenfunctions for some completely integrable systems
Does a quantum particle know the time?- Level spacings for Cayley graphs
Eigenvalues of Ramanujan graphs
Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin
Random walks on generalized Euclidean graphs
Two proofs of Ihara's theorem
Playing billiards with microwaves
Quantum manifestations of classical chaos
Characters of the symmetric groups: formulas, estimates and applications
Number theory and formal languages
Expander graphs and amenable quotients
Ramanujan hypergraphs and Ramanujan geometries
Constructing error-correcting codes from expander graphs
Multipath zeta functions of graphs
Eigenvalues of the Laplacian for Bianchi groups
A survey of discrete trace formulas.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
New York, NY
Series
The IMA Volumes in Mathematics and its Applications -- 109, IMA volumes in mathematics and its applications -- 109.

Classifications

Dewey Decimal Class
512.7
Library of Congress
QA241-247.5, QA1-939

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xiii, 697 pages).
Number of pages
697

ID Numbers

Open Library
OL27035878M
Internet Archive
emergingapplicat00bleh
ISBN 10
146127186X, 1461215447
ISBN 13
9781461271864, 9781461215448
OCLC/WorldCat
853267953

Source records

Internet Archive item record
Better World Books record
Better World Books record

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
October 5, 2021 Edited by ImportBot import existing book
October 5, 2021 Edited by ImportBot import existing book
June 30, 2019 Created by MARC Bot Imported from Internet Archive item record