English

An asymptotic version of the prime power conjecture for perfect difference sets

Number Theory 2023-01-09 v2 Combinatorics

Abstract

We show that the number of positive integers nNn\leq N such that Z/(n2+n+1)Z\mathbb{Z}/(n^2+n+1)\mathbb{Z} contains a perfect difference set is asymptotically N/logNN/\log{N}.

Keywords

Cite

@article{arxiv.2003.04929,
  title  = {An asymptotic version of the prime power conjecture for perfect difference sets},
  author = {Sarah Peluse},
  journal= {arXiv preprint arXiv:2003.04929},
  year   = {2023}
}

Comments

31 pages; v2: referee suggestions incorporated