Analytic Properties of Automorphic L-Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Properties of Automorphic L-Functions write by Stephen Gelbart. This book was released on 2014-07-14. Analytic Properties of Automorphic L-Functions available in PDF, EPUB and Kindle. Analytic Properties of Automorphic L-Functions is a three-chapter text that covers considerable research works on the automorphic L-functions attached by Langlands to reductive algebraic groups. Chapter I focuses on the analysis of Jacquet-Langlands methods and the Einstein series and Langlands’ so-called “Euler products . This chapter explains how local and global zeta-integrals are used to prove the analytic continuation and functional equations of the automorphic L-functions attached to GL(2). Chapter II deals with the developments and refinements of the zeta-inetgrals for GL(n). Chapter III describes the results for the L-functions L (s, ?, r), which are considered in the constant terms of Einstein series for some quasisplit reductive group. This book will be of value to undergraduate and graduate mathematics students.
Advanced Analytic Number Theory: L-Functions
Advanced Analytic Number Theory: L-Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Analytic Number Theory: L-Functions write by Carlos J. Moreno. This book was released on 2005. Advanced Analytic Number Theory: L-Functions available in PDF, EPUB and Kindle. 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.
Some Analytic Properties of Automorphic L-functions
Some Analytic Properties of Automorphic L-functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Some Analytic Properties of Automorphic L-functions write by Yuanli Zhang. This book was released on 1994. Some Analytic Properties of Automorphic L-functions available in PDF, EPUB and Kindle.
Lectures on Automorphic L-functions
Lectures on Automorphic L-functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Automorphic L-functions write by James W. Cogdell. This book was released on . Lectures on Automorphic L-functions available in PDF, EPUB and Kindle. James W. Cogdell, Lectures on $L$-functions, converse theorems, and functoriality for $GL_n$: Preface Modular forms and their $L$-functions Automorphic forms Automorphic representations Fourier expansions and multiplicity one theorems Eulerian integral representations Local $L$-functions: The non-Archimedean case The unramified calculation Local $L$-functions: The Archimedean case Global $L$-functions Converse theorems Functoriality Functoriality for the classical groups Functoriality for the classical groups, II Henry H. Kim, Automorphic $L$-functions: Introduction Chevalley groups and their properties Cuspidal representations $L$-groups and automorphic $L$-functions Induced representations Eisenstein series and constant terms $L$-functions in the constant terms Meromorphic continuation of $L$-functions Generic representations and their Whittaker models Local coefficients and non-constant terms Local Langlands correspondence Local $L$-functions and functional equations Normalization of intertwining operators Holomorphy and bounded in vertical strips Langlands functoriality conjecture Converse theorem of Cogdell and Piatetski-Shapiro Functoriality of the symmetric cube Functoriality of the symmetric fourth Bibliography M. Ram Murty, Applications of symmetric power $L$-functions: Preface The Sato-Tate conjecture Maass wave forms The Rankin-Selberg method Oscillations of Fourier coefficients of cusp forms Poincare series Kloosterman sums and Selberg's conjecture Refined estimates for Fourier coefficients of cusp forms Twisting and averaging of $L$-series The Kim-Sarnak theorem Introduction to Artin $L$-functions Zeros and poles of Artin $L$-functions The Langlands-Tunnell theorem Bibliography
Automorphic Forms on GL (2)
Automorphic Forms on GL (2) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphic Forms on GL (2) write by H. Jacquet. This book was released on 2006-11-15. Automorphic Forms on GL (2) available in PDF, EPUB and Kindle.
