# G. Lejeune Dirichlet’s Werke

Share this page *Edited by *
*L. Kronecker; L. Fuchs*

AMS Chelsea Publishing: An Imprint of the American Mathematical Society

Dirichlet (1805–1859) is well known for his significant contributions to
several branches of mathematics. In number theory, for instance, he proved the
conjecture by Gauss that there are infinitely many primes in any arithmetic
progression such that the first term and the relative difference are relatively
prime. He introduced Dirichlet series to analytic number theory, a tool which
continues to be important today. In analysis, he is remembered for his work in
potential theory, especially his study of harmonic functions with prescribed
boundary values, now known as the Dirichlet problem. He is also known for his
work on trigonometric series, in particular his rigorous proofs of conditions
for their convergence which settled Cauchy's objections to Fourier's earlier
work. He also made contributions to the theory of ideals.

The two volumes of Dirichlet's Collected Works are published here
in a single volume. Certain handwritten manuscripts from Dirichlet's
Nachlass have been included by the editors: Kronecker and Fuchs. They
have also included some of the mathematical correspondence that
Dirichlet had with Gauss and Kronecker.