Advanced Analytic Number Theory: L-Functions - Couverture souple

Moreno, Carlos

Couverture souple

ISBN 10 : 0821842668 ISBN 13 : 9780821842669

Editeur : American Mathematical Society, 2005

Synopsis

Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations.The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 0821842668
• ISBN 13: 9780821842669
• Reliure: Broché
• Nombre de pages: 291
• Coordonnées du fabricant: non disponible
• Personne responsable: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Pays-Bas