Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg L-functions
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 BH2) and getting a square root exponent for the error term.
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