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This article is cited in 1 scientific paper (total in 1 paper)
Difference Sets and Positive Exponential Sums. II: Cubic Residues in Cyclic Groups
Máté Matolcsiab, Imre Z. Ruzsab 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 $q$.
Received: August 1, 2020 Revised: November 29, 2020 Accepted: June 17, 2021
Citation:
Máté Matolcsi, Imre Z. Ruzsa, “Difference Sets and Positive Exponential Sums. II: Cubic Residues in Cyclic Groups”, Analytic and Combinatorial Number Theory, Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 314, Steklov Math. Inst., Moscow, 2021, 145–151; Proc. Steklov Inst. Math., 314 (2021), 138–143
Linking options:
https://www.mathnet.ru/eng/tm4190https://doi.org/10.4213/tm4190 https://www.mathnet.ru/eng/tm/v314/p145
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Abstract page: | 187 | Full-text PDF : | 28 | References: | 43 | First page: | 6 |
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