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

Aleksandar Ivić

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

Aleksandar Ivić

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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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Aleksandar Ivić. 2003-11-28. Sums of squares of $|ζ(1/2+it)|$ over short intervals. https://arxiv.org/abs/math/0311516

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