Weyl group multiple Dirichlet series : type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg.

By:

Brubaker, Ben, 1976-

Contributor(s):

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400838998
1400838991

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Weyl group multiple Dirichlet.DDC classification:

515/.243 22

LOC classification:

QA295 .B876 2011eb

Online resources:

Click here to access online

Contents:

20. Crystals and p-adic IntegrationBibliography; Notation; Index

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.

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Includes bibliographical references (pages 143-147) and index.

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.