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arXiv · 1903.02031

Test Vectors for Nonarchimedean Godement-Jacquet Zeta Integrals

Peter Humphries
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Abstract

Given an induced representation of Langlands type $(\pi,V)$ of $\mathrm{GL}_n(F)$ with $F$ nonarchimedean, we show that there exist explicit choices of matrix coefficient $\beta$ and Schwartz-Bruhat function $\Phi$ for which the Godement-Jacquet zeta integral $Z(s,\beta,\Phi)$ attains the $L$-function $L(s,\pi)$.

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BibTeXRIS

Peter Humphries. 2019-03-05. Test Vectors for Nonarchimedean Godement-Jacquet Zeta Integrals. https://doi.org/10.1112/blms.12401

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