English

The larger sieve and polynomial congruences

Number Theory 2018-12-27 v2

Abstract

We obtain a small improvement of Gallagher's larger sieve and we extend it to higher dimensions. We also obtain two interesting upper bounds for the number of solutions to polynomial congruences.

Keywords

Cite

@article{arxiv.1810.11436,
  title  = {The larger sieve and polynomial congruences},
  author = {Patrick Letendre},
  journal= {arXiv preprint arXiv:1810.11436},
  year   = {2018}
}