On Central Critical Values of the Degree Four L-Functions for GSp(4)

The Fundamental Lemma. III

Masaaki Furusawa, Kimball Martin, Joseph A. Shalika (Autoren)

Buch | Softcover

134 Seiten

2013
American Mathematical Society (Verlag)
978-0-8218-8742-4 (ISBN)

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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.

Masaaki Furusawa, Osaka City University, Japan Kimball Martin, University of Oklahoma, Norman, OK, USA Joseph A. Shalika

Introduction Reduction formulas Anisotropic Bessel orbital integral Split Bessel and Novodvorsky orbital integrals Rankin-Selberg orbital integral Bibliography Index

Erscheint lt. Verlag	30.9.2013
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Gewicht	226 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-8218-8742-4 / 0821887424
ISBN-13	978-0-8218-8742-4 / 9780821887424
Zustand	Neuware