English

On the number of Diophantine $m$-tuples in finite fields

Number Theory 2023-01-11 v1

Abstract

We use a new argument to improve the error term in the asymptotic formula for the number of Diophantine mm-tuples in finite fields, which is due to A. Dujella and M.Kazalicki (2021) and N. Mani and S. Rubinstein-Salzedo (2021).

Keywords

Cite

@article{arxiv.2301.04063,
  title  = {On the number of Diophantine $m$-tuples in finite fields},
  author = {Igor E. Shparlinski},
  journal= {arXiv preprint arXiv:2301.04063},
  year   = {2023}
}