On the large sieve with sparse sets of moduli

2005/12/12 by Baier, Stephan
#11B57 #11L07 #11N35 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0512228

Abstract

Extending a method of D. Wolke, we establish a general result on the large sieve with sparse sets S of moduli which are in a sense well-distributed in arithmetic progressions. We then use this result together with Fourier techniques to obtain large sieve bounds for the case when S consists of squares. These bounds improve a recent result by L. Zhao.

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