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Physics and Number Theory
IRMA Lectures in Mathematics and Theoretical Physics Vol. 10

Physics and Number Theory

Louise Nyssen (Université Montpellier, France)

ISBN print 978-3-03719-028-9, ISBN online 978-3-03719-528-4
DOI 10.4171/028
October 2006, 274 pages, softcover, 17.0 x 24.0 cm.
39.50 Euro

There is a rich and historical relationship between theoretical physics and number theory. This volume presents a selection of problems which are currently in full development and inspire a lot of research going on. Each of the seven contributions starts with an introductory survey which makes it possible even for non-specialists to understand the results and to gain an idea of the great variety of subjects and techniques used.

Topics covered are: phase locking in oscillating systems, crystallography, Hopf algebras and renormalisation theory, Zeta-function and random matrices, Kloosterman sums and the local Langlands correspondence.

Intended for research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of recent developments in an exciting subject crossing several disciplines.

Further Information

Review in Zentralblatt MATH 1098.11003

Review in MR 2272936 (2007g:00008)

EMS Review