Difference sets and positive exponential sums II: cubic residues in cyclic groups
Number Theory
2025-04-23 v2 Combinatorics
Abstract
By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set in cyclic groups such that the difference set avoids cubic residues modulo .
Keywords
Cite
@article{arxiv.2406.00406,
title = {Difference sets and positive exponential sums II: cubic residues in cyclic groups},
author = {Mate Matolcsi and Imre Z. Ruzsa},
journal= {arXiv preprint arXiv:2406.00406},
year = {2025}
}
Comments
8 pages. A clarification for the variable j under the summation in formula (2) was added