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math.NT2021★ 1 cited
Wide moments of -functions II: Dirichlet -functions
Asbjørn Christian Nordentoft
We study wide moments of Dirichlet -functions using analytic properties of the Lerch zeta function. Among other things we obtain an asymptotic expansion of wide moments of Diric…
math.NT2021★ 3 cited
Wide moments of -functions I: Twists by class group characters of imaginary quadratic fields
Asbjorn Christian Nordentoft
We calculate certain "wide moments" of central values of Rankin--Selberg -functions where is a cuspidal automorphic representation of ov…
math.NT2021
Bounds on shifted convolution sums for Hecke eigenforms
Asbjorn Christian Nordentoft, Yiannis N. Petridis, Morten S. Risager
Shifted convolution sums play a prominent rôle in analytic number theory. We investigate pointwise bounds, mean-square bounds, and average bounds for shifted convolution sums for H…