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arXiv · 2510.19468

Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions

Aritra Ghosh
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Abstract

In this article we show simultaneous non-vanishing of two Rankin-Selberg $L$-functions by proving an asymptotic result in weight aspect. The main input of this paper is to remove the $t$-integral dependence from the result of Blomer-Harcos (see \cite{BH2}) and getting a square root exponent for the error term.

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Aritra Ghosh. 2025-10-22. Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions. https://arxiv.org/abs/2510.19468

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