# Analytic Number Theory: A Tribute to Gauss and Dirichlet

Share this page *Edited by *
*William Duke; Yuri Tschinkel*

A co-publication of the AMS and Clay Mathematics Institute

Articles in this volume are based on talks given at the Gauss–Dirichlet
Conference held in Göttingen on June 20–24, 2005. The conference
commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th
anniversary of the birth of 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 progressions of primes and
small gaps between primes), class groups of binary quadratic forms,
various aspects of the theory of \(L\)-functions, the theory of
modular forms, and the study of rational and integral solutions to
polynomial equations in several variables.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

#### Readership

Graduate students and research mathematicians interested in number theory.