Archimedean zeta integrals for $GL(3)\times GL(2)$

Autor:	Hirano, Miki, Ishii, Taku, Miyazaki, Tadashi
Rok vydání:	2021
Předmět:	Mathematics - Number Theory Mathematics - Representation Theory 11F70 (Primary) 11F30 22E46 (Secondary)
Druh dokumentu:	Working Paper
Popis:	In this article, we give explicit formulas of archimedean Whittaker functions on $GL(3)$ and $GL(2)$. Moreover, we apply those to the calculation of archimedean zeta integrals for $GL(3)\times GL(2)$, and show that the zeta integral for appropriate Whittaker functions is equal to the associated $L$-factors. Comment: Final version with minor modifications, to appear in Memoirs of the American Mathematical Society. 126 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.05042 Zobrazit plný text záznamu View this record from Arxiv