AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory
Edited by: Solomon Friedberg, Managing Editor, Boston College, Chestnut Hill, MA, Daniel Bump, Stanford University, CA, Dorian Goldfeld, Columbia University, New York, NY, and Jeffrey Hoffstein, Brown University, Providence, RI

Proceedings of Symposia in Pure Mathematics
2006; 303 pp; hardcover
Volume: 75
ISBN-10: 0-8218-3963-2
ISBN-13: 978-0-8218-3963-8
List Price: US$71
Member Price: US$56.80
Order Code: PSPUM/75
[Add Item]

Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of \(L\)-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and \(L\)-functions, on new examples of multiple Dirichlet series, and on developments in the allied fields of automorphic forms and analytic number theory.


Graduate students and research mathematicians interested in number theory, especially automorphic forms and connections to analytic number theory.

Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia