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2004 A note on unique representation bases for the integers
Tomasz Łuczak, Tomasz Schoen
Funct. Approx. Comment. Math. 32: 67-70 (2004). DOI: 10.7169/facm/1538186626

Abstract

We prove that each subset $A$ of $\mathbb{Z}$ which fulfills certain Sidon-type condition can be extended to a unique representation basis for $\mathbb{Z}$.

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Tomasz Łuczak. Tomasz Schoen. "A note on unique representation bases for the integers." Funct. Approx. Comment. Math. 32 67 - 70, 2004. https://doi.org/10.7169/facm/1538186626

Information

Published: 2004
First available in Project Euclid: 29 September 2018

zbMATH: 1070.11005
MathSciNet: MR2109945
Digital Object Identifier: 10.7169/facm/1538186626

Subjects:
Primary: 11B13
Secondary: 11B05, 11B34

Keywords: additive bases

Rights: Copyright © 2004 Adam Mickiewicz University

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