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Sets whose differences avoid squares modulo m.
- Source :
-
Proceedings of the American Mathematical Society . Sep2021, Vol. 149 Issue 9, p3669-3682. 14p. - Publication Year :
- 2021
-
Abstract
- We prove that if ε(m) → 0 arbitrarily slowly, then for almost all m and any A ⊂ Zm such that A−A does not contain non-zero quadratic residues we have |A| ≤ m1/2−ε(m). [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONGRUENCES & residues
*SQUARE
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 151583510
- Full Text :
- https://doi.org/10.1090/proc/15511