Sets whose differences avoid squares modulo m

Kevin Ford, Mikhail R. Gabdullin

Research output: Contribution to journalArticlepeer-review


We prove that if εpmq Ñ 0 arbitrarily slowly, then for almost all m and any A Ă Zm such that A ´ A does not contain non-zero quadratic residues we have |A| ď m1{2´εpmq

Original languageEnglish (US)
Pages (from-to)3669-3682
Number of pages14
JournalProceedings of the American Mathematical Society
Issue number9
StatePublished - 2021

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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