Averaging quadratically twisted $L$-values and their derivatives
Number Theory
2025-07-02 v1
Abstract
In this paper, we unconditionally establish an asymptotic formula for the product of the quadratically twisted central -value associated to a holomorphic cusp form , and the quadratically twisted central -derivative to a distinct holomorphic cusp form . This result may be viewed as an extension of \cite{Li-MR4768632}, \cite{Kumar.etc-MR4765788} and \cite{zhou2025momentderivativesquadratictwists}.
Keywords
Cite
@article{arxiv.2507.00179,
title = {Averaging quadratically twisted $L$-values and their derivatives},
author = {Tinghao Huang},
journal= {arXiv preprint arXiv:2507.00179},
year = {2025}
}