Scifaro

中文

关于含于单位根中的和集的精细估计

数论 2020-05-07 v3 组合数学

作者: Brandon Hanson , Giorgis Petridis

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

我们证明 Paley 图的团数至多为 $\sqrt{p/2} + 1$ ,并且二次剩余集的任何假想加法分解只能来自 co-Sidon 集。

关键词

Paley 图团数二次剩余加法分解 co-Sidon 集单位根和集

引用

@article{arxiv.1905.09134,
  title  = {Refined Estimates Concerning Sumsets Contained in the Roots of Unity},
  author = {Brandon Hanson and Giorgis Petridis},
  journal= {arXiv preprint arXiv:1905.09134},
  year   = {2020}
}

备注

7 pages. The second version already included a corollary to Theorem 1.2 due to George Shakan that confirms Sarkozy's conjecture for almost all primes