On Central Critical Values of the Degree Four $l$-functions for Gsp: The Fundamental Lemma. III - Couverture souple

Furusawa, Masaaki; Martin, Kimball; Shalika, Joseph A.

Couverture souple

ISBN 10 : 0821887424 ISBN 13 : 9780821887424

Editeur : American Mathematical Society, 2013

Synopsis

Some time ago, the first and third authors proposed two relative trace formulas to prove generalisations of Bocherer's conjecture on the central critical values of the degree four $L$-functions for $\mathrm{GSp}(4)$, 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.

A propos du livre

À propos de l'auteur

Masaaki Furusawa, Osaka City University, Japan

Kimball Martin, University of Oklahoma, Norman, OK, USA

Joseph A. Shalika

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 0821887424
• ISBN 13: 9780821887424
• Reliure: Broché
• Nombre de pages: 134
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible