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Author : A. Weil
Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 710/5 ( reviews)
Book Synopsis Dirichlet Series and Automorphic Forms by : A. Weil
Download or read book Dirichlet Series and Automorphic Forms written by A. Weil. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Weil
Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 028/5 ( reviews)
Book Synopsis Dirichlet Series and Automorphic Forms by : A. Weil
Download or read book Dirichlet Series and Automorphic Forms written by A. Weil. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Stiller
Release : 1984
Genre : Mathematics
Kind : eBook
Book Rating : 000/5 ( reviews)
Book Synopsis Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms by : Peter Stiller
Download or read book Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms written by Peter Stiller. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL2([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the special values in the critical strip of the Dirichlet series associated to the cusp form.
Author : Solomon Friedberg
Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 632/5 ( reviews)
Book Synopsis Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory by : Solomon Friedberg
Download or read book Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory written by Solomon Friedberg. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Daniel Bump
Release : 2012-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 348/5 ( reviews)
Book Synopsis Multiple Dirichlet Series, L-functions and Automorphic Forms by : Daniel Bump
Download or read book Multiple Dirichlet Series, L-functions and Automorphic Forms written by Daniel Bump. This book was released on 2012-07-09. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical mechanics, and quantum groups are seen to fit together. The volume also includes papers on automorphic forms and L-functions and related number-theoretic topics. This volume will be a valuable resource for graduate students and researchers in number theory, combinatorics, representation theory, mathematical physics, and special functions. Contributors: J. Beineke, B. Brubaker, D. Bump, G. Chinta, G. Cornelissen, C.A. Diaconu, S. Frechette, S. Friedberg, P. Garrett, D. Goldfeld, P.E. Gunnells, B. Heim, J. Hundley, D. Ivanov, Y. Komori, A.V. Kontorovich, O. Lorscheid, K. Matsumoto, P.J. McNamara, S.J. Patterson, M. Suzuki, H. Tsumura.
