Advanced Analytic Number Theory: L-Functions (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs) free ebook download.

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Advanced Analytic Number Theory: L-Functions (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs) free ebook download

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Author(s):	Carlos Moreno

Date:	2005	Format:	DJVU	Language:	English	ISBN/ASIN:	0821842668
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	stirkout	Upload Date:	4/12/2020 1:20:48 PM

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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.

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Tags: Advanced Analytic L-Functions Mathematical Monographs Number Surveys Theory

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