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math.NT2022
Proof of the Strong Ivić Conjecture for the Cubic Moment of Maass-form -functions
Zhi Qi
In this paper, we prove the following asymptotic formula for the spectral cubic moment of central -values: $$ \sum_{t_f \leqslant T} \frac {2 L \big( \tfrac 1 2 , f \big)^3} {L(…
math.NT2022★ 2 cited
Moments of Central -values for Maass Forms over Imaginary Quadratic Fields
Sheng-Chi Liu, Zhi Qi
In this paper, over imaginary quadratic fields, we consider the family of -functions for an orthonormal basis of spherical Hecke--Maass forms with Archimedean par…