Averaging quadratically twisted L-values and their derivatives

Abstract

In this paper, we unconditionally establish an asymptotic formula for the product of the quadratically twisted central L-value associated to a holomorphic cusp form f, and the quadratically twisted central L-derivative to a distinct holomorphic cusp form g. This result may be viewed as an extension of Li-MR4768632, Kumar.etc-MR4765788 and zhou2025momentderivativesquadratictwists.

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