Share

Explicit Constructions of Automorphic L-Functions

2006-11-15 Mathematics
Download Explicit Constructions of Automorphic L-Functions PDF Online Free

Author :
Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 809/5 ( reviews)

GET EBOOK


Book Synopsis Explicit Constructions of Automorphic L-Functions by : Stephen Gelbart

Download or read book Explicit Constructions of Automorphic L-Functions written by Stephen Gelbart. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Explicit Constructions of Automorphic L-Functions

2014-01-15
Download Explicit Constructions of Automorphic L-Functions PDF Online Free

Author :
Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 210/5 ( reviews)

GET EBOOK


Book Synopsis Explicit Constructions of Automorphic L-Functions by : Steve Gelbart

Download or read book Explicit Constructions of Automorphic L-Functions written by Steve Gelbart. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Properties of Automorphic L-Functions

2014-07-14 Mathematics
Download Analytic Properties of Automorphic L-Functions PDF Online Free

Author :
Release : 2014-07-14
Genre : Mathematics
Kind : eBook
Book Rating : 034/5 ( reviews)

GET EBOOK


Book Synopsis Analytic Properties of Automorphic L-Functions by : Stephen Gelbart

Download or read book Analytic Properties of Automorphic L-Functions written by Stephen Gelbart. This book was released on 2014-07-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Automorphic Representations, L-Functions and Applications: Progress and Prospects

2011-06-24 Mathematics
Download Automorphic Representations, L-Functions and Applications: Progress and Prospects PDF Online Free

Author :
Release : 2011-06-24
Genre : Mathematics
Kind : eBook
Book Rating : 707/5 ( reviews)

GET EBOOK


Book Synopsis Automorphic Representations, L-Functions and Applications: Progress and Prospects by : James W. Cogdell

Download or read book Automorphic Representations, L-Functions and Applications: Progress and Prospects written by James W. Cogdell. This book was released on 2011-06-24. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

Selected Works of Ilya Piatetski-Shapiro

2022-11-03 Mathematics
Download Selected Works of Ilya Piatetski-Shapiro PDF Online Free

Author :
Release : 2022-11-03
Genre : Mathematics
Kind : eBook
Book Rating : 947/5 ( reviews)

GET EBOOK


Book Synopsis Selected Works of Ilya Piatetski-Shapiro by : James Cogdell

Download or read book Selected Works of Ilya Piatetski-Shapiro written by James Cogdell. This book was released on 2022-11-03. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

You may also like...