On central critical values of the degree four L-functions for GSp(4): the fundamental lemma. III
Masaaki Furusawa, Kimball Martin, Joseph A. Shalika
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
Categorie:
Anno:
2013
Casa editrice:
Amer Mathematical Society
Lingua:
english
Pagine:
150
ISBN 10:
0821887424
ISBN 13:
9780821887424
Collana:
Memoirs of the American Mathematical Society 1057
File:
PDF, 932 KB
IPFS:
,
english, 2013