Quantitative analysis demonstrates non-vanishing of central values in Hecke–Maass cusp forms, implying deeper understanding of number theory.
In this paper, we establish a new quantitative result for the simultaneous non-vanishing of the central values of quadratically twisted L-functions associated with SL(2, Z) and SL(3, Z) Hecke–Maass cusp forms. Our main result is derived from the calculation of moments of twisted central L-values, which is accomplished through the application of a Waldspurger-type formula for Maass cusp forms and the Kuznetsov trace formula for the Kohnen subspace.
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Taiyu Huang (2026) studied this question.
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