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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 |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2013]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1057. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "Volume 225, number 1057 (second of 4 numbers), September 2013." 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 |
| Descripción Física: | 1 online resource (x, 134 pages) |
| Bibliografía: | Includes bibliographical references (pages 131-132) and index. |
| ISBN: | 9781470410575 1470410575 9781470403805 1470403803 0821887424 9780821887424 |
| ISSN: | 0065-9266 ; 0065-9266 |