Geodesic
On a problem of Nathanson
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
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

Voir la notice de l'article

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 
@article{10_4064_aa171031_26_4,
     author = {Yong-Gao Chen and Min Tang},
     title = {On a problem of {Nathanson}},
     journal = {Acta Arithmetica},
     pages = {275--280},
     year = {2018},
     volume = {185},
     number = {3},
     doi = {10.4064/aa171031-26-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa171031-26-4/}
}
TY  - JOUR
AU  - Yong-Gao Chen
AU  - Min Tang
TI  - On a problem of Nathanson
JO  - Acta Arithmetica
PY  - 2018
SP  - 275
EP  - 280
VL  - 185
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa171031-26-4/
DO  - 10.4064/aa171031-26-4
LA  - en
ID  - 10_4064_aa171031_26_4
ER  - 
%0 Journal Article
%A Yong-Gao Chen
%A Min Tang
%T On a problem of Nathanson
%J Acta Arithmetica
%D 2018
%P 275-280
%V 185
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/aa171031-26-4/
%R 10.4064/aa171031-26-4
%G en
%F 10_4064_aa171031_26_4
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

Cité par Sources :