Automorphic Forms And L Functions For The Group Glnr
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Author | : Armand Borel |
Publisher | : American Mathematical Soc. |
Total Pages | : 394 |
Release | : 1979-06-30 |
Genre | : Mathematics |
ISBN | : 0821814370 |
Download Automorphic Forms, Representations and $L$-Functions Book in PDF, Epub and Kindle
Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Author | : David Ginzburg |
Publisher | : American Mathematical Soc. |
Total Pages | : 315 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821847066 |
Download Automorphic Forms and $L$-functions I Book in PDF, Epub and Kindle
Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.
Author | : D. Goldfeld |
Publisher | : |
Total Pages | : 493 |
Release | : 2006 |
Genre | : Automorphic forms |
ISBN | : 9780511317057 |
Download Automorphic Forms and L-functions for the Group GL(n, R) Book in PDF, Epub and Kindle
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra.
Author | : Stephen Gelbart |
Publisher | : Academic Press |
Total Pages | : 142 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 1483261034 |
Download Analytic Properties of Automorphic L-Functions Book 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.
Author | : David Ginzburg |
Publisher | : American Mathematical Soc. |
Total Pages | : 339 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821847082 |
Download Automorphic Forms and $L$-functions II Book in PDF, Epub and Kindle
Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.
Author | : Ze-Li Dou |
Publisher | : Springer Science & Business Media |
Total Pages | : 131 |
Release | : 2012-12-15 |
Genre | : Mathematics |
ISBN | : 3642287085 |
Download Six Short Chapters on Automorphic Forms and L-functions Book in PDF, Epub and Kindle
"Six Short Chapters on Automorphic Forms and L-functions" treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.
Author | : Dorian Goldfeld |
Publisher | : Cambridge University Press |
Total Pages | : 65 |
Release | : 2006-08-03 |
Genre | : Mathematics |
ISBN | : 1139456202 |
Download Automorphic Forms and L-Functions for the Group GL(n,R) Book in PDF, Epub and Kindle
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
Author | : Stephen S. Gelbart |
Publisher | : Springer |
Total Pages | : 934 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : |
Download Explicit Constructions of Automorphic L-functions Book in PDF, Epub and Kindle
The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory.
Author | : Laurent Clozel |
Publisher | : |
Total Pages | : 464 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : |
Download Automorphic Forms, Shimura Varieties, and L-functions Book in PDF, Epub and Kindle
Author | : Jianya Liu |
Publisher | : |
Total Pages | : 204 |
Release | : 2014 |
Genre | : Automorphic forms |
ISBN | : 9787040395013 |
Download Automorphic Forms and L-functions Book in PDF, Epub and Kindle