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On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma. III /
Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of Böcherer's conjecture on the central critical values of the degree four L-functions for GSp(4), and proved the relevant fundamental lemmas. Recently, the first and second authors propose...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2013]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1057. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 050 | 4 | |a QA3 |b .A57 no.1057 | |
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| 049 | |a UAMI | ||
| 100 | 1 | |a Furusawa, Masaaki, |e author. | |
| 245 | 1 | 0 | |a On central critical values of the degree four L-functions for GSp(4) : |b the fundamental lemma. |n III / |c Masaaki Furusawa, Kimball Martin, and Joseph A. Shalika. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (x, 134 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 1057 | |
| 500 | |a "Volume 225, number 1057 (second of 4 numbers), September 2013." | ||
| 500 | |a The first volume of "On central critical values of the degree four L-functions for GSp(4)" was published as number 782 of the Memoirs of the American Mathematical Society in 2003; the second volume was published in volume 133 of the American Journal of Mathematics in 2011 | ||
| 504 | |a Includes bibliographical references (pages 131-132) and index. | ||
| 520 | |a Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of Böcherer's conjecture on the central critical values of the degree four L-functions for GSp(4), and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of two local relative orbital integrals. In order to show that they are equal, the authors compute them explicitly for certain bases of the Hecke algebra and deduce the matching. | ||
| 505 | 0 | |a Preface -- Introduction: Notation. Orbital Integrals ; Matching -- Reduction formulas. Macdonald Polynomials ; Explicit formulas and the Macdonald Polynomials ; Reduction formulas for the orbital integrals -- Anisotropic Bessel Orbital Integral. Preliminaries ; Evaluation -- Split Bessel and Novodvorsky Orbital Integrals. Preliminaries ; Evaluation ; Matching -- Rankin-Selberg Orbital Integral. Preliminaries ; Matching in the inert case ; Matching in the split case -- Bibliography -- Index. | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed July 9, 2013). | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Siegel domains. | |
| 650 | 0 | |a Modular groups. | |
| 650 | 0 | |a Automorphic forms. | |
| 650 | 6 | |a Domaines de Siegel. | |
| 650 | 6 | |a Groupes modulaires. | |
| 650 | 6 | |a Formes automorphes. | |
| 650 | 7 | |a Automorphic forms |2 fast | |
| 650 | 7 | |a Modular groups |2 fast | |
| 650 | 7 | |a Siegel domains |2 fast | |
| 700 | 1 | |a Martin, Kimball, |e author. | |
| 700 | 1 | |a Shalika, Joseph A., |d 1941- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJcGrvHc6TYmgxhftg7bVC | |
| 758 | |i has work: |a On central critical values of the degree four L-functions for GSp(4) III (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFWY8K9H6PYjQtGpkgHxQq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Furusawa, Masaaki. |t On central critical values of the degree four L-functions for GSp(4) : |x 0065-9266 |z 9780821833285 |w (DLC) 2013444966 |
| 787 | 0 | 8 | |i Volume 1: |a Furusawa, Masaaki. |t On central critical values of the degree four L-functions for GSp(4). |d Providence, Rhode Island : American Mathematical Society, 2003 |z 9781470403805 |w (OCoLC)851086253 |
| 787 | 0 | 8 | |i Volume 2: |a Furusawa, Masaaki. |t On central critical values of the degree four L-functions for GSp(4). |d Baltimore, Maryland : American Journal of Mathematics, 2011 |g 133 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1057. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114123 |z Texto completo |
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