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math.NT2026
Mixed moment and joint non-vanishing of and -functions
Sayan Ghosh, Pratim Mitra
In this article, we study the mixed-moment problem for the product of central values of two -functions twisted by a Dirichlet character of large conductor . Precisely, for a…
math.NT2026
Non-Vanishing of Cubic Twists of -functions
Sayan Ghosh, Pratim Mitra
Let be an irreducible, cuspidal automorphic representation of (), which is tempered only for . Let be a complex number such that…