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...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
©2011.
|
| Schriftenreihe: | Annals of mathematics studies ;
no. 175. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (158 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 143-147) and index. |
| ISBN: | 9781400838998 1400838991 |
Internformat
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| 245 | 1 | 0 | |a Weyl group multiple Dirichlet series : |b type A combinatorial theory / |c Ben Brubaker, Daniel Bump, and Solomon Friedberg. |
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| 490 | 1 | |a Annals of mathematics studies ; |v no. 175 | |
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| 520 | |a 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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| contents | 20. Crystals and p-adic IntegrationBibliography; Notation; Index |
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| indexdate | 2024-11-27T13:17:47Z |
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| spelling | Brubaker, Ben, 1976- https://id.oclc.org/worldcat/entity/E39PCjvkBbBGX9dgb3qYCDvMWC http://id.loc.gov/authorities/names/n2010063152 Weyl group multiple Dirichlet series : type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg. Princeton, N.J. : Princeton University Press, ©2011. 1 online resource (158 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Annals of mathematics studies ; no. 175 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. Print version record. In English. 20. Crystals and p-adic IntegrationBibliography; Notation; Index Dirichlet series. http://id.loc.gov/authorities/subjects/sh85120239 Weyl groups. http://id.loc.gov/authorities/subjects/sh95002984 Séries de Dirichlet. Groupes de Weyl. MATHEMATICS Infinity. bisacsh MATHEMATICS Number Theory. bisacsh Dirichlet series fast Weyl groups fast Bump, Daniel, 1952- https://id.oclc.org/worldcat/entity/E39PBJxMp93k8wHycjrbQgRqcP http://id.loc.gov/authorities/names/n84041723 Friedberg, Solomon, 1958- https://id.oclc.org/worldcat/entity/E39PBJvtcggvxdTTVqcgbm3RKd http://id.loc.gov/authorities/names/no91026503 has work: Weyl group multiple Dirichlet series (Text) https://id.oclc.org/worldcat/entity/E39PCGXq6KkvmPVVkFjVPbxHcq https://id.oclc.org/worldcat/ontology/hasWork Print version: Brubaker, Ben, 1976- Weyl group multiple Dirichlet. Princeton, N.J. : Princeton University Press, ©2011 9780691150659 (DLC) 2010037073 (OCoLC)666489879 Annals of mathematics studies ; no. 175. http://id.loc.gov/authorities/names/n42002129 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=358317 Volltext |
| spellingShingle | Brubaker, Ben, 1976- Weyl group multiple Dirichlet series : type A combinatorial theory / Annals of mathematics studies ; 20. Crystals and p-adic IntegrationBibliography; Notation; Index Dirichlet series. http://id.loc.gov/authorities/subjects/sh85120239 Weyl groups. http://id.loc.gov/authorities/subjects/sh95002984 Séries de Dirichlet. Groupes de Weyl. MATHEMATICS Infinity. bisacsh MATHEMATICS Number Theory. bisacsh Dirichlet series fast Weyl groups fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85120239 http://id.loc.gov/authorities/subjects/sh95002984 |
| title | Weyl group multiple Dirichlet series : type A combinatorial theory / |
| title_auth | Weyl group multiple Dirichlet series : type A combinatorial theory / |
| title_exact_search | Weyl group multiple Dirichlet series : type A combinatorial theory / |
| title_full | Weyl group multiple Dirichlet series : type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg. |
| title_fullStr | Weyl group multiple Dirichlet series : type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg. |
| title_full_unstemmed | Weyl group multiple Dirichlet series : type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg. |
| title_short | Weyl group multiple Dirichlet series : |
| title_sort | weyl group multiple dirichlet series type a combinatorial theory |
| title_sub | type A combinatorial theory / |
| topic | Dirichlet series. http://id.loc.gov/authorities/subjects/sh85120239 Weyl groups. http://id.loc.gov/authorities/subjects/sh95002984 Séries de Dirichlet. Groupes de Weyl. MATHEMATICS Infinity. bisacsh MATHEMATICS Number Theory. bisacsh Dirichlet series fast Weyl groups fast |
| topic_facet | Dirichlet series. Weyl groups. Séries de Dirichlet. Groupes de Weyl. MATHEMATICS Infinity. MATHEMATICS Number Theory. Dirichlet series Weyl groups |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=358317 |
| work_keys_str_mv | AT brubakerben weylgroupmultipledirichletseriestypeacombinatorialtheory AT bumpdaniel weylgroupmultipledirichletseriestypeacombinatorialtheory AT friedbergsolomon weylgroupmultipledirichletseriestypeacombinatorialtheory |