Emerging Applications of Number Theory

Front Cover
Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko
Springer Science & Business Media, May 21, 1999 - Mathematics - 689 pages
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.
 

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Contents

III
1
IV
39
V
73
VI
143
VII
175
VIII
187
IX
201
X
205
XIX
405
XX
451
XXI
469
XXII
479
XXIII
525
XXIV
547
XXV
571
XXVI
583

XI
219
XII
269
XIII
291
XIV
317
XV
329
XVI
355
XVII
373
XVIII
387
XXVII
591
XXVIII
601
XXIX
617
XXX
643
XXXI
683
XXXII
685
XXXIII
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