On quadratic residues and nonresidues in difference sets modulo 𝑚

Fabrykowski, J.

doi:10.1090/S0002-9939-1994-1205491-1

On quadratic residues and nonresidues in difference sets modulo

Author: J. Fabrykowski
Journal: Proc. Amer. Math. Soc. 122 (1994), 325-331
MSC: Primary 11A07; Secondary 11B75
DOI: https://doi.org/10.1090/S0002-9939-1994-1205491-1
MathSciNet review: 1205491
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Abstract: Let , and consider a set $\mathcal{A} = \{ {a_i}\}$ of residues modulo m such that ${a_i}$ and ${a_i} - {a_j}$ for all i and j with $i \ne j$ are quadratic residues (nonresidues) modulo m. We investigate the estimation of the maximal cardinality of such a set $\mathcal{A}$ for various moduli m.

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