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math.NT2025
On twisted period functions and Moments of a weighted mean square of Dirichlet L-functions on the critical line
Sebastien Darses, Berend Ringeling, Emmanuel Royer
We extend to Dirichlet L-functions associated with arbitrary primitive characters a range of objects and properties -- including Eisenstein series and period functions -- that were…
math.NT2023
Multiple integral formulas for weighted zeta moments: the case of the sixth moment
Sébastien Darses, Joseph Najnudel
We prove exact formulas for weighted th moments of the Riemann zeta function for all integer in terms of the analytic continuation of an auto-correlation function. Th…