English

Congruences with intervals and subgroups modulo a prime

Number Theory 2014-12-09 v2

Abstract

We obtain new results about the representation of almost all residues modulo a prime pp by a product of a small integer and also an element of small multiplicative subgroup of (Z/pZ)({\mathbb Z}/p{\mathbb Z})^*. These results are based on some ideas, and their modifications, of a recent work of J. Cilleruelo and M. Z. Garaev (2014),

Keywords

Cite

@article{arxiv.1412.0440,
  title  = {Congruences with intervals and subgroups modulo a prime},
  author = {Marc Munsch and Igor Shparlinski},
  journal= {arXiv preprint arXiv:1412.0440},
  year   = {2014}
}
R2 v1 2026-06-22T07:16:45.460Z