English

On the large sieve with sparse sets of moduli

Number Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0512228,
  title  = {On the large sieve with sparse sets of moduli},
  author = {Stephan Baier},
  journal= {arXiv preprint arXiv:math/0512228},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T17:28:30.807Z