Every function is the representation function of an additive basis for the integers

zbMath1133.11005arXivmath/0302091MaRDI QIDQ1780141

Melvyn B. Nathanson

Publication date: 7 June 2005

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302091

zbMATH Keywords

additive basesrepresentation functions

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (9)

Representation functions avoiding integers with density zero ⋮ Partitions of natural numbers with the same representation functions ⋮ On a problem of Cilleruelo and Nathanson ⋮ On bounded basis with prescribed representation functions ⋮ On a problem of Cilleruelo and Nathanson. II ⋮ On generalized perfect difference sets constructed from Sidon sets ⋮ Perfect difference sets constructed from Sidon sets ⋮ Unnamed Item ⋮ Inverse Problems for Representation Functions in Additive Number Theory

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