On Sidon sets which are asymptotic bases

DOI10.1007/s10474-010-9155-1zbMath1218.11012OpenAlexW2043225947MaRDI QIDQ532088

Sándor Z. Kiss

Publication date: 26 April 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9155-1

zbMATH Keywords

additive number theoryasymptotic basisSidon set

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13)

Related Items (7)

On Sidon sets and asymptotic bases ⋮ No cubic integer polynomial generates a Sidon sequence ⋮ Generalized asymptotic Sidon basis ⋮ On Sidon sets which are asymptotic bases of order \(4\) ⋮ ON ASYMPTOTIC BASES WHICH HAVE DISTINCT SUBSET SUMS ⋮ Sidon basis in polynomial rings over finite fields ⋮ Dense sumsets of Sidon sequences

Cites Work

• A Sidon basis
• On sum sets of Sidon sets. I
• On additive properties of general sequences
• Intersection Theorems for Systems of Sets
• Poisson approximation for large deviations
• Representations of integers as the sum of k terms
• Representation functions, Sidon sets and bases
• Unsolved problems in number theory

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