Open Access
January 2018 The local zeta integrals for $\mathit{GL}(2,\mathbf{C})\times \mathit{GL}(2,\mathbf{C})$
Tadashi Miyazaki
Proc. Japan Acad. Ser. A Math. Sci. 94(1): 1-6 (January 2018). DOI: 10.3792/pjaa.94.1


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 $\mathit{GL}(2,\mathbf{C})\times \mathit{GL}(2,\mathbf{C})$.


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Tadashi Miyazaki. "The local zeta integrals for $\mathit{GL}(2,\mathbf{C})\times \mathit{GL}(2,\mathbf{C})$." Proc. Japan Acad. Ser. A Math. Sci. 94 (1) 1 - 6, January 2018.


Published: January 2018
First available in Project Euclid: 5 January 2018

zbMATH: 06902808
MathSciNet: MR3743720
Digital Object Identifier: 10.3792/pjaa.94.1

Primary: 11F70
Secondary: 11F30 , 22E46

Keywords: automorphic forms , Whittaker functions , zeta integrals

Rights: Copyright © 2018 The Japan Academy

Vol.94 • No. 1 • January 2018
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