In these proceedings from the July 2005 workshop, participants describe their work in multiple Dirichlet series, which are Dirichlet series in several complex variables. A multiple Dirichlet series is perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. Papers here describe multiple Dirichlet series and their applications, including in automorphic forms, in mean values of L-functions, in Weyl groups, in multiple Hurwitz zeta functions and in generalized Selberg zeta functions, and a conjectural Lefshetz formula. Others cover Rankin-Conklin brackets on higher order modular forms, certain Eulerian integrals, the Hlawka set function, sums of integrals of powers of the zeta-function in short intervals, uniform bounds for Rankin-Selberg L-functions, mean values of zeta functions via representation theory, pair correlation of the eigenvalues of certain Laplacian elements and lower bounds for moments of L-functions with symplectic and orthogonal examples. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Zustand: New. Multiple Dirichlet series are Dirichlet series in several complex variables. This book covers the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on examples of multiple Dirichlet series, and on developments in the allied fields of automorphic forms and analytic number theory. Editor(s): Friedberg, Solomon; Bump, Daniel; Goldfeld, Dorian; Hoffstein, Jeffrey. Series: Proceedings of Symposia in Pure Mathematics. Num Pages: 303 pages, Illustrations. BIC Classification: PBH. Category: (P) Professional & Vocational. Weight in Grams: 698. . 2006. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821839638
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Hardback. Zustand: New. illustrated Edition. 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. Bestandsnummer des Verkäufers LU-9780821839638
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Zustand: New. Multiple Dirichlet series are Dirichlet series in several complex variables. This book covers the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on examples of multiple Dirichlet series, and on developments in the allied fields of automorphic forms and analytic number theory. Editor(s): Friedberg, Solomon; Bump, Daniel; Goldfeld, Dorian; Hoffstein, Jeffrey. Series: Proceedings of Symposia in Pure Mathematics. Num Pages: 303 pages, Illustrations. BIC Classification: PBH. Category: (P) Professional & Vocational. Weight in Grams: 698. . 2006. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821839638
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