On the moments of Hecke series at central points

arxiv: math/0210337 · v3 · submitted 2002-10-22 · 🧮 math.NT

Aleksandar Ivi\'c This is my paper

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keywords heckeseriesalphaasymptoticcentralformulaskappamoments

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Asymptotic formulas for $\sum_{\kappa_j\le K}\alpha_j H_j^k(1/2)$ are proved when $k = 3,4$, where $H_j(s)$ is the Hecke series.

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