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arXiv · 2108.03985

Simultaneous non-vanishing of central values of $GL(2) \times GL(3) $ and $GL(3)$ $L$-functions

Gopal Maiti·Kummari Mallesham
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Abstract

We study simultaneous non-vanishing of $L(\tfrac{1}{2},\di)$ and $L(\tfrac{1}{2},g\otimes \di)$, when $\di$ runs over an orthogonal basis of the space of Hecke-Maass cusp forms for $SL(3,\mathbb{Z})$ and $g$ is a fixed $SL(2,\mathbb{Z})$ Hecke cusp form of weight $k\equiv 0 \pmod 4$.

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Gopal Maiti, Kummari Mallesham. 2021-08-09. Simultaneous non-vanishing of central values of $GL(2) \times GL(3) $ and $GL(3)$ $L$-functions. https://arxiv.org/abs/2108.03985

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