Expertini Research Research
  • Expertini Research profile
    • Mathematics PDF Available Non-peer-reviewed Preprint

    Sets whose differences avoid squares modulo m

    Kevin Ford, Mikhail R. Gabdullin  ·  Published 2020-07-11
    📄 Download PDF 🔖 Bookmark Paper

    Abstract

    We prove that if $\varepsilon(m)\to 0$ arbitrarily slowly, then for almost all $m$ and any $A\subset\mathbb{Z}_m$ such that $A-A$ does not contain non-zero quadratic residues we have $|A|\leq m^{1/2-\varepsilon(m)}.$

    Keywords

    📄 Full Paper Available as PDF
    This paper is available as a downloadable PDF.
    📄 Download PDF

    ✨ AI Plain-English Summary

    Get a plain-English summary of this paper generated by AI (5 free per day).

    Comments (0)

    No comments yet. Be the first to comment.

    Related Papers

    Mathematics PDF

    Fuzzy Anti-bounded Linear Operator

    2010