Geodesic
On Twisted Orbital Integral Identities for PGL(3) Over A p-adic Field
Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 1098-1130

Voir la notice de l'article provenant de la source Cambridge University Press

The object of this paper is to prove certain p-adic orbital integral identities needed in order to accomplish the symmetric square transfer via the twisted Arthur trace formula. Only §5 of this article contains original material, the rest of it is due to R. Langlands. Very briefly, we reduce the problem of proving certain orbital integral identities for “matching” functions in the respective Hecke algebras to two counting problems on the buildings. We give Langlands’ solution of one of these problems in the case of the unit elements of the respective Hecke algebras and §5 provides the solution to the other one, again, in the unit element case. The main results assume p ≠ 2.
DOI : 10.4153/CJM-1990-059-6
Mots-clés : 11F70, 11R39, 22E50 
Joyner, David. On Twisted Orbital Integral Identities for PGL(3) Over A p-adic Field. Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 1098-1130. doi: 10.4153/CJM-1990-059-6
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