Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory: Proceedings of the Bretton Woods Workshop on Multiple Dirichlet Series ... of Symposia in Pure Mathematics, 75, Band 75) - Hardcover

Inhaltsangabe

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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