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

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

2003-11-28

arxiv.org/abs/math/0311516v1

Max-Planck-Institut f\"ur Mathematik, Preprint series 2002(52), 12 pp

Mathematics

Number Theory

12 pages

Scientific paper

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

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