Squares and difference sets in finite fields
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BACHOC, Christine | |
| dc.contributor.author | RUZSA, Imre Z. | |
| hal.structure.identifier | Renyi Institute | |
| dc.contributor.author | MATOLCSI, Mate | |
| dc.date.accessioned | 2024-04-04T02:20:52Z | |
| dc.date.available | 2024-04-04T02:20:52Z | |
| dc.date.created | 2013-05-02 | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1553-1732 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189525 | |
| dc.description.abstractEn | For infinitely many primes $p=4k+1$ we give a slightly improved upper bound for the maximal cardinality of a set $B\subset \ZZ_p$ such that the difference set $B-B$ contains only quadratic residues. Namely, instead of the "trivial" bound $|B|\leq \sqrt{p}$ we prove $|B|\leq \sqrt{p}-1$, under suitable conditions on $p$. The new bound is valid for approximately three quarters of the primes $p=4k+1$. | |
| dc.language.iso | en | |
| dc.publisher | State University of West Georgia, Charles University, and DIMATIA | |
| dc.title.en | Squares and difference sets in finite fields | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1305.0577 | |
| bordeaux.journal | Integers : Electronic Journal of Combinatorial Number Theory | |
| bordeaux.page | 5 pp | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00911682 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00911682v1 | |
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