文档介绍：Clay Mathematics Proceedings
7
Volume 7
Analytic Number Theory
Analytic Number Theory
A Tribute to
Gauss and Dirichlet
A Tribute to Gauss and Dirichlet
Articles in this volume are based on talks given at the Gauss–
Dirichlet Conference held in Göttingen on June 20–24, 2005. William Duke
The memorated the 150th anniversary of the Yuri Tschinkel
death of C.-F. Gauss and the 200th anniversary of the birth of Editors
J.-L. Dirichlet.
The volume begins with a definitive summary of the life and
work of Dirichlet and continues with thirteen papers by leading
experts on research topics of current interest in number theory
that were directly influenced by Gauss and Dirichlet. Among the
topics are the distribution of primes (long arithmetic progres-
sions of primes and small gaps between primes), class groups of
binary quadratic forms, various aspects of the theory of L-func-
tions, the theory of modular forms, and the study of rational and
integral solutions to polynomial equations in several variables.
Duke and Tschinkel
, Editors
rican Mathematical Society
CMIP/7
CMI Clay Mathematics Institute
4-color process 264 pages on 50 lb stock • 1/2 inch spine
Analytic Number Theory
A Tribute to
Gauss and Dirichlet
Clay Mathematics Proceedings
Volume 7
Analytic Number Theory
A Tribute to
Gauss and Dirichlet
William Duke
Yuri Tschinkel
Editors
American Mathematical Society
Clay Mathematics Institute
2000 Mathematics Subject Classification. Primary OlAxx, 11Dxx, 11Exx, 11 Mxx, 11 Nxx,
14Gxx.
The cover photo of Gustav-Peter Lejeune Dirichlet is courtesy of the Muhlenberg
College Library.
Library of Congress Cataloging-in-Publication Data
Gauss-Dirichlet Conference (2005 : Gottingen, Germany)
Analytic number theory: a tribute to Gauss and Dirichlet: proceedings of the Gauss-Dirichlet
Conference, Gottingen, Germany, June 20-24, 2005 / William Duke, Yuri Tschinkel, editors.
p. em. - (Clay mathematics proceedings