Inverse Erdős-Fuchs theorem for \(k\)-fold sumsets

DOI10.1016/J.JNT.2013.12.013zbMath1372.11011arXiv1209.3233OpenAlexW2002193716MaRDI QIDQ401971

Li-Xia Dai, Hao Pan

Publication date: 27 August 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3233

zbMATH Keywords

probabilistic methodHoeffding's theorem

Mathematics Subject Classification ID

Inverse problems of additive number theory, including sumsets (11P70) Representation functions (11B34)

Related Items (2)

An Erdős-Fuchs theorem for ordered representation functions ⋮ An Erdős-Fuchs type result for representation functions

Cites Work

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• An improvement of an extension of a theorem of Erdős and Fuchs
• A converse to a theorem of Erdös and Fuchs
• A quantitative Erdös–Fuchs theorem and its generalization
• On a Problem of Additive Number Theory†
• On a theorem of Erdős and Fuchs
• Probability Inequalities for Sums of Bounded Random Variables
• On a generalization of a theorem of Erdős and Fuchs
• On a generalization of a theorem of Erdős and Fuchs

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