Miki Hirano, Taku Ishii, Tadashi Miyazaki
Published 2021-04-11Version 1
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.
Comments: Final version with minor modifications, to appear in Memoirs of the American Mathematical Society. 126 pages
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