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global fields 1hecke l-functions 1moments of L-functions 1multiple Dirichlet series 1non-vanishing 1r-th order characters 1

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math.NT2026

On the second moment and non-vanishing of central values of Hecke -functions of -th order characters

Adrian Diaconu, Bogdan Ion, Vicenţiu Paşol +1

The paper derives asymptotic formulas for the first and second twisted moments of r‑th order Hecke L‑functions over global fields containing the 2r‑th roots of unity, and uses thes…