English

A beastiary of sets having extremal Sidon constant, or, there must be more than one theorem somewhere here

Functional Analysis 2019-10-03 v1

Abstract

New sets (typically found by computer search) with Sidon constant equal to the square root of their cardinalities are given. For each integer NN there are only a finite number of groups of prime order containing NN-element extreme sets. Some extreme sets appear to fit a pattern; others do not. Various conjectures and questions are given.

Keywords

Cite

@article{arxiv.1910.00924,
  title  = {A beastiary of sets having extremal Sidon constant, or, there must be more than one theorem somewhere here},
  author = {Colin C. Graham},
  journal= {arXiv preprint arXiv:1910.00924},
  year   = {2019}
}