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...
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J. :
Princeton University Press,
©2011.
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| Series: | Annals of mathematics studies ;
no. 175. |
| Subjects: | |
| Online Access: | Connect to this title online (unlimited users allowed) |
| 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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| Physical Description: | 1 online resource (158 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 143-147) and index. |
| ISBN: | 9781400838998 1400838991 |