Geodesic
On a problem of Nathanson
Yong-Gao Chen1 ; Min Tang2
1 School of Mathematical Sciences and Institute of Mathematics Nanjing Normal University Nanjing 210023, P.R. China
2 School of Mathematics and Statistics Anhui Normal University Wuhu 241002, P.R. China
Acta Arithmetica, Tome 185 (2018) no. 3, pp. 275-280 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A set $A$ of nonnegative integers is an asymptotic basis of order $h$ if every sufficiently large integer can be represented as the sum of $h$ integers (not necessarily distinct) of $A$. An asymptotic basis $A$ of order $h$ is minimal if no proper subset of $A$ is an asymptotic basis of order $h$. We resolve a problem of Nathanson on minimal asymptotic bases of order $h$.
DOI : 10.4064/aa171031-26-4
Keywords: set nonnegative integers asymptotic basis order every sufficiently large integer represented sum integers necessarily distinct asymptotic basis order minimal proper subset asymptotic basis order resolve problem nathanson minimal asymptotic bases order nbsp

Yong-Gao Chen 1 ; Min Tang 2

1 School of Mathematical Sciences and Institute of Mathematics Nanjing Normal University Nanjing 210023, P.R. China
2 School of Mathematics and Statistics Anhui Normal University Wuhu 241002, P.R. China 
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Yong-Gao Chen; Min Tang. On a problem of Nathanson. Acta Arithmetica, Tome 185 (2018) no. 3, pp. 275-280. doi: 10.4064/aa171031-26-4

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