On Central Critical Values of the Degree Four l-Functions for GSp(4) The Fundamental Lemma. III |
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| Author:
| Furusawa, Masaaki
Martin, Kimball
Shalika, Joseph A. |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-8742-4 |
| Publication Date: | Sep 2013 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $79.00USD $79.00 |
Book Description:
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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...
More DescriptionSome 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.