A modified Gallagher's Lemma

Published 31 Dec 2012 in math.NT | (1301.0008v1)

Abstract: First we prove a modified version of the famous Lemma on the mean square estimate for exponential sums, by plugging the Cesaro weights in the right hand side of Gallagher's inequality. Then we apply it, in order to establish a mean value estimate for the Dirichlet polynomials.

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