Rankin-Selberg integrals for local symmetric square factors on $GL\mathrm{(2)}$

Autor:	Jo, Yeongseong
Rok vydání:	2020
Předmět:	Mathematics - Number Theory Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	Let $\pi$ be an irreducible admissible (complex) representation of $GL(2)$ over a non-archimedean characteristic zero local field with odd residual characteristic. In this paper we prove the equality between the local symmetric square $L$-function associated to $\pi$ arising from integral representations and the corresponding Artin $L$-function for its Langlands parameter through the local Langlands correspondence. With this in hand, we show the stability of local symmetric $\gamma$-factors attached to $\pi$ under highly ramified twists.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.07379 Zobrazit plný text záznamu View this record from Arxiv