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Weyl Group Multiple Dirichlet Series : Type A Combinatorial Theory (AM-175) /

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...

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Detalles Bibliográficos
Autor principal: Brubaker, Ben, 1976-
Otros Autores: Friedberg, Solomon, 1958-, Bump, Daniel, 1952-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 2011.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource: illustrations
ISBN:9781400838998