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Archimedean zeta integrals for $GL(3)\times GL(2)$
Published 11 Apr 2021 in math.NT and math.RT | (2104.05042v1)
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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