Note on the sumset of squares

Norbert Hegyvári

Note on the sumset of squares

Combinatorics 2025-04-24 v2

Authors: Norbert Hegyvári

Abstract

It is proved that for any non-empty finite subset $Q$ of the square numbers, $|Q+Q|\geq C'|Q|(\log |Q|)^{1/3+o(1)}$ . This result essentially is proved -- with the same tools -- by Mei-Chu Chang. See in J. Funct. Anal. 207 (2004), no 2, 444-460. So the author will withdraw this ArXiv file.

Keywords

finite fields number theory arithmetic progressions

Cite

@article{arxiv.2504.13230,
  title  = {Note on the sumset of squares},
  author = {Norbert Hegyvári},
  journal= {arXiv preprint arXiv:2504.13230},
  year   = {2025}
}

Comments

This result essentially is proved -- with the same tools -- by Mei-Chu Chang. See in J. Funct. Anal. 207 (2004), no 2, 444-460. So the author will withdraw this ArXiv file

Note on the sumset of squares

Abstract

Keywords

Cite

Comments

Related papers