On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma. III
- Responsibility
- Masaaki Furusawa, Kimball Martin, Joseph A. Shalika.
- Imprint
- Providence, Rhode Island : American Mathematical Society, ©2013.
- Physical description
- x, 134 p. : ill. ; 26 cm.
- Series
- Memoirs of the American Mathematical Society ; no. 1057.
Access
Science Library (Li and Ma)
Serials
| Call number | Status |
|---|---|
| Shelved by Series title NO.1057 |
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Creators/Contributors
- Author/Creator
- Furusawa, Masaaki.
- Contributor
- Martin, Kimball.
- Shalika, Joseph A., 1941-
Contents/Summary
- Bibliography
- Includes bibliographical references (p. 131-132) and index.
- Contents
-
- Introduction Reduction formulas Anisotropic Bessel orbital integral Split Bessel and Novodvorsky orbital integrals Rankin-Selberg orbital integral Bibliography Index.
- (source: Nielsen Book Data)9780821887424 20160612
- Publisher's Summary
- 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.
(source: Nielsen Book Data)9780821887424 20160612
Subjects
Bibliographic information
- Publication date
- 2013
- Series
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1057
- Note
- "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.
- ISBN
- 0821887424
- 9780821887424
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