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

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

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 .

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2021-09, Vol.314 (1), p.138-143
Hauptverfasser: Matolcsi, Máté, Ruzsa, Imre Z.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Mathematics
Mathematics and Statistics
Residues
Sums
Upper bounds
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Beschreibung
Zusammenfassung: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 .
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543821040088