On the Erdős–Fuchs theorem

DOI10.4064/AA170724-11-7zbMATH Open1441.11264arXiv1608.08433OpenAlexW2939661163MaRDI QIDQ5226444

Hao Pan, Li-Xia Dai

Publication date: 31 July 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Abstract: We prove several extensions of the Erdos-Fuchs theorem.

Full work available at URL: https://arxiv.org/abs/1608.08433

zbMATH Keywords

the Erdős-Fuchs theorem

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70) Representation functions (11B34)

Cites Work

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• A quantitative Erdös–Fuchs theorem and its generalization
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Related Items (10)

Unnamed Item ⋮ On an old theorem of Erd ⋮ A quantitative Erdős-Fuchs type result for multivariate linear forms ⋮ On Erdős-Prachar theorem ⋮ A converse to a theorem of Erdös and Fuchs ⋮ An Erdős-Fuchs theorem for ordered representation functions ⋮ Unnamed Item ⋮ An Erdős-Fuchs type result for representation functions ⋮ On a Theorem of Erdos and Turan ⋮ An oscillation theorem on the additive representative function over \(\mathbb{N}\)

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