Böcker av Henryk Iwaniec

Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. This work aims to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, theorems and techniques.

Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. This book treats the spectral theory of automorphic forms as the study of the space $L^2 (H\Gamma)$ and $\Gamma$ is a discrete subgroup of volume-preserving transformations of $H$.