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arXiv:2403.08324 [math.NT]AbstractReferencesReviewsResources

Mixed moments of $\rm GL(2)$ and symmetric square $L$-functions

Bingrong Huang, Liangxun Li

Published 2024-03-13Version 1

In this paper, we prove asymptotic formulas of mixed moments of $\rm GL(2)$ and its symmetric square $L$-functions for both Hecke--Maass cusp forms and holomorphic Hecke eigenforms in short intervals. As an application, we prove quantitative simultaneous non-vanishing of central values of these $L$-functions.

Comments: 25 pages. Comments welcome!
Categories: math.NT
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