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arXiv · 2104.05042

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

Miki Hirano·Taku Ishii·Tadashi Miyazaki
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Abstract

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.

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Miki Hirano, Taku Ishii, Tadashi Miyazaki. 2021-04-11. Archimedean zeta integrals for $GL(3)\times GL(2)$. https://arxiv.org/abs/2104.05042

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