English

Nonexistence of $D(4)$-quintuples

Number Theory 2018-08-24 v4

Abstract

In this paper we prove a conjecture that D(4)D(4)-quintuple does not exist using both classical and new methods. Also, we give a new version of the Rickert's theorem that can be applied on some D(4)D(4)-quadruples.

Cite

@article{arxiv.1704.01874,
  title  = {Nonexistence of $D(4)$-quintuples},
  author = {Marija Bliznac Trebješanin and Alan Filipin},
  journal= {arXiv preprint arXiv:1704.01874},
  year   = {2018}
}

Comments

38 pages; some mistakes corrected, some explanations added

R2 v1 2026-06-22T19:09:48.942Z