Cover image for Weyl group multiple Dirichlet series : type A combinatorial theory
Title:
Weyl group multiple Dirichlet series : type A combinatorial theory
Author:
Brubaker, Ben, 1976-
ISBN:
9781400838998
Publication Information:
Princeton, N.J. : Princeton University Press, ©2011.
Physical Description:
1 online resource (158 pages) : illustrations.
Series:
Annals of mathematics studies ; no. 175

Annals of mathematics studies ; no. 175.
Abstract:
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.
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