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Item Details
| Title:
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ADVANCED ANALYTIC NUMBER THEORY
L-FUNCTIONS |
| By: |
Carlos Julio Moreno |
| Format: |
Hardback |
| List price:
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£56.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821836412 |
| ISBN 13: |
9780821836415 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 May, 2005 |
| Series: |
Mathematical Surveys and Monographs No. 115 |
| Pages: |
291 |
| Description: |
Presents an introduction to the 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. |
| 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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Non-returnable |
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