Advanced Analytic Number Theory L Functions is popular PDF and ePub book, written by Carlos J. Moreno in 2005, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Advanced Analytic Number Theory L Functions can be Read Online from any device for your convenience.
Advanced Analytic Number Theory L Functions Book PDF Summary
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.
Detail Book of Advanced Analytic Number Theory L Functions PDF
- Author : Carlos J. Moreno
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821842669
- Genre : Mathematics
- Total Page : 313 pages
- Language : English
- PDF File Size : 7,5 Mb
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