English

$D(4)$-triples with two largest elements in common

Number Theory 2024-06-25 v1

Abstract

In this paper we consider two new conjectures concerning D(4)D(4)-quadruples and prove some special cases which support their validity. The main result is a proof that {a,b,c}\{a,b,c\} and {a+1,b,c}\{a+1,b,c\} cannot both be D(4)D(4)-triples.

Cite

@article{arxiv.2202.04924,
  title  = {$D(4)$-triples with two largest elements in common},
  author = {Marija Bliznac Trebješanin},
  journal= {arXiv preprint arXiv:2202.04924},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-24T09:29:44.496Z