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math.NT2018★ 1 cited
Optimal estimates for an average of Hurwitz class numbers
Shingo Sugiyama, Masao Tsuzuki
In this paper, we give an optimal estimate of an average of Hurwitz class numbers. As an application, we give an equidistribution result of the family $\{\frac{t}{2q^{ν/2}} \ | \ ν…
math.NT2018★ 3 cited
Quantitative non-vanishing of central values of certain -functions on
Shingo Sugiyama, Masao Tsuzuki
Let be an even Hecke-Maass cusp form on whose -function does not vanish at the center of the functional equation. In this article, we obtain an exac…