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Difference sets and positive exponential sums II: cubic residues in cyclic groups

Authors :
Matolcsi, Mate
Ruzsa, Imre Z.
Source :
Proceedings of the Steklov Institute of Mathematics 314 : 1 pp. 138-143, 6 p. (2021)
Publication Year :
2024

Abstract

By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set $B_q$ in cyclic groups $\ZZ_q$ such that the difference set $B_q-B_q$ avoids cubic residues modulo $q$.<br />Comment: 8 pages

Details

Database :
arXiv
Journal :
Proceedings of the Steklov Institute of Mathematics 314 : 1 pp. 138-143, 6 p. (2021)
Publication Type :
Report
Accession number :
edsarx.2406.00406
Document Type :
Working Paper
Full Text :
https://doi.org/10.1134/S0081543821040088