Weyl group multiple Dirichlet series : type A combinatorial theory /

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Bibliographic Details
Author / Creator:Brubaker, Ben, 1976-
Imprint:Princeton, N.J. : Princeton University Press, ©2011.
Description:1 online resource (158 pages) : illustrations
Language:English
Series:Annals of mathematics studies ; no. 175
Annals of mathematics studies ; no. 175.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11260658
Hidden Bibliographic Details
Other authors / contributors:Bump, Daniel, 1952-
Friedberg, Solomon, 1958-
ISBN:9781400838998
1400838991
9780691150659
0691150656
9780691150666
0691150664
Notes:Includes bibliographical references (pages 143-147) and index.
In English.
Print version record.
Summary: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.
Other form:Print version: Brubaker, Ben, 1976- Weyl group multiple Dirichlet. Princeton, N.J. : Princeton University Press, ©2011 9780691150659
Standard no.:10.1515/9781400838998