English

Sums of fractions modulo $p$

Number Theory 2015-10-28 v1

Abstract

Let \Fp\F_p be the field of residue classes modulo a large prime pp. The present paper is devoted to the problem of representability of elements of \Fp\F_p as sums of fractions of the form x/yx/y with x,yx,y from short intervals of \Fp\F_p.

Keywords

Cite

@article{arxiv.1510.07980,
  title  = {Sums of fractions modulo $p$},
  author = {C. A. Díaz and M. Z. Garaev},
  journal= {arXiv preprint arXiv:1510.07980},
  year   = {2015}
}