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On the moments of Hecke series at central points

Number Theory 2007-05-23 v3
Authors: Aleksandar Ivić
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Abstract

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

Keywords

hecke series central points moments asymptotic formulas

Cite

@article{arxiv.math/0210337,
  title  = {On the moments of Hecke series at central points},
  author = {Aleksandar Ivić},
  journal= {arXiv preprint arXiv:math/0210337},
  year   = {2007}
}

Comments

35 pages

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