Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions
Number Theory
2025-12-05 v2
Abstract
In this article we show simultaneous non-vanishing of two Rankin-Selberg -functions by proving an asymptotic result in weight aspect. The main input of this paper is to remove the -integral dependence from the result of Blomer-Harcos (see \cite{BH2}) and getting a square root exponent for the error term.
Keywords
Cite
@article{arxiv.2510.19468,
title = {Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions},
author = {Aritra Ghosh},
journal= {arXiv preprint arXiv:2510.19468},
year = {2025}
}
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20 pages