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

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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