Weyl group multiple Dirichlet series
Subtitle: Type A combinatorial theory
By: Ben Brubaker, Daniel Bump, and Solomon Friedberg
Contributors: Bump, Daniel, 1952-; Friedberg, Solomon, 1958-
Series: Annals of mathematics studies -- no. 175
Publisher: Princeton University Press
Published: 2011
Place of publication: Princeton, N.J
Language: eng
Number of pages: 158
ISBN-13: 9780691150659; 9780691150666
Subjects: Dirichlet series; Weyl groups
Description: Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these series and develops their combinatorics.
Notes: Includes bibliographical references (p. [143]-147) and index.