Máté Matolcsi, Imre Z. Ruzsa, “Difference Sets and Positive Exponential Sums. II: Cubic Residues in Cyclic Groups”, Trudy Mat. Inst. Steklova, 2021, Volume 314,Pages <nobr>145

This article is cited in 1 paper

Difference Sets and Positive Exponential Sums. II: Cubic Residues in Cyclic Groups

Máté Matolcsi^ab, Imre Z. Ruzsa^b

^a Budapest University of Technology and Economics (BME), Egry J. u. 1, H-1111 Budapest, Hungary
^b Alfréd Rényi Institute of Mathematics, P.O. Box 127, H-1364 Budapest, Hungary

Abstract: By constructing suitable nonnegative exponential sums, we give upper bounds on the cardinality of any set $B_q$ in cyclic groups $\mathbb Z_q$ such that the difference set $B_q-B_q$ avoids cubic residues modulo $q$.

UDC: 511.172

Received: August 1, 2020
Revised: November 29, 2020
Accepted: June 17, 2021

DOI: 10.4213/tm4190