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Weyl group multiple Dirichlet series : type A combinatorial theory /

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...

Пълно описание

Основен автор: Brubaker, Ben, 1976-
Други автори: Bump, Daniel, 1952-, Friedberg, Solomon, 1958-
Формат: Електронна книга
Език: English
Публикувано: Princeton, N.J. : Princeton University Press, ℗♭2011.
Серия: Annals of mathematics studies ; no. 175.
Предмети:
Онлайн достъп: http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=358317
Подобни документи: Print version:: Weyl group multiple Dirichlet.
Резюме: 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.
Физически характеристики: 1 online resource (158 pages) : illustrations.
Библиография: Includes bibliographical references (pages 143-147) and index.
ISBN: 9781400838998
1400838991