paper

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

arXiv:2406.00406 · doi:10.1134/S0081543821040088

Abstract

By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set in cyclic groups $\ZZ_q$ such that the difference set avoids cubic residues modulo .

8 pages. A clarification for the variable j under the summation in formula (2) was added

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