The local zeta integrals for $\mathit{GL}(2,\mathbf{C})\times \mathit{GL}(2,\mathbf{C})$

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Tadashi Miyazaki¹ 

[1] Department of Mathematics, College of Liberal Arts and Sciences, Kitasato University

关键词: Whittaker functions;    automorphic forms;    zeta integrals.;   

DOI  :  10.3792/pjaa.94.1

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

In this article, for irreducible admissible infinite-dimensional representations $\Pi$ and $\Pi'$ of $\mathit{GL}(2,\mathbf{C})$, we show that the local $L$-factor $L(s,\Pi \times \Pi')$ can be expressed as some local zeta integral for $\mathit{GL}(2,\mathbf{C})\times \mathit{GL}(2,\mathbf{C})$.

【 授权许可】

Unknown