The Selberg-Arthur Trace Formula

ISBN-13: 9783540550211 / Angielski / Miękka / 1992 / 99 str.

Salahoddin Shokranian

Opis

Based on lectures given by James Arthur, this text discusses the trace formula of Selberg and Arthur, focusing on Arthur's trace formula for GL(r). Several examples are used in order to illustrate the basic concepts.

Spis treści

Number theory and automorphic representations.- Selberg's trace formula.- Kernel functions and the convergence theorem.- The adèlic theory.- The geometric theory.- The geometric expansion of the trace formula.- The spectral theory.- The invariant trace formula and its applications.