English

Character sums over shifted primes

Number Theory 2013-09-25 v2

Abstract

For integer qq, let χ\chi be a primitive multiplicative character(modq).\pmod q. For integer aa coprime to qq, we obtain a new bound for the sums nNΛ(n)χ(n+a),\sum_{n\le N}\Lambda(n)\chi(n+a), where Λ(n)\Lambda(n) is the von Mangoldt function. This bound improves and extends the range of a result of Friedlander, Gong and Shparlinski

Keywords

Cite

@article{arxiv.1308.1456,
  title  = {Character sums over shifted primes},
  author = {Bryce Kerr},
  journal= {arXiv preprint arXiv:1308.1456},
  year   = {2013}
}

Comments

26 pages

R2 v1 2026-06-22T01:05:09.237Z