English

On a conjecture of B. C. Kellner

Number Theory 2017-05-30 v3

Abstract

The aim of this note is a proof of a recent conjecture of Kellner concerning the number of distinct prime factors of a particular product of primes. The proof uses profound results from analytic number theory, such as Granville-Ramar\'{e}'s estimate of an exponential sum over primes.

Keywords

Cite

@article{arxiv.1705.06128,
  title  = {On a conjecture of B. C. Kellner},
  author = {Olivier Bordellès},
  journal= {arXiv preprint arXiv:1705.06128},
  year   = {2017}
}

Comments

4 pages

R2 v1 2026-06-22T19:49:50.544Z