Sums of squares of |ζ(1/2+it)| over short intervals

2003/11/28 by Aleksandar Ivić
Mathematics · #math.NT #msc:11M06

paper · pdf

published as Max-Planck-Institut für Mathematik, Preprint series 2002(52), 12 pp · 12 pages

arxiv created 2003/11/28 · arxiv updated 2009/12/01

Abstract

Sums of squares of |ζ(1/2+it)| over short intervals are investigated. Known upper bounds for the fourth and twelfth moment of |ζ(1/2+it)| are derived. A discussion concerning other possibilities for the estimation of higher power moments of |ζ(1/2+it)| is given.

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