English

Large values of short character sums

Number Theory 2017-12-25 v2

Abstract

In this paper, we prove that for any A>0A>0 there exist infinitely many primes pp for which sums of the Legendre symbol modulo pp over an interval of length (lnp)A(\ln p)^A can take large values.

Keywords

Cite

@article{arxiv.1712.08080,
  title  = {Large values of short character sums},
  author = {Alexander Kalmynin},
  journal= {arXiv preprint arXiv:1712.08080},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T23:26:17.798Z