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arXiv · 2103.07835

Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values

Masao Tsuzuki
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Abstract

We introduce a new trace formula of Kuznetsov type involving the central standard L-values and the Whittaker periods of cuspidal automorphic representations of PGL_n(Q) which are spherical at the archimedean place. As an application, we show a simultaneous non-vanishing of standard L-values at n-1 points on the critical strip for infinitely many Hecke-Maass cuspidal newforms.

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Masao Tsuzuki. 2021-03-14. Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values. https://arxiv.org/abs/2103.07835

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