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A construction of maximal asymptotic nonbases.
- Source :
-
International Journal of Number Theory . May2018, Vol. 14 Issue 4, p919-923. 5p. - Publication Year :
- 2018
-
Abstract
- Let denote the set of all nonnegative integers and be a subset of . The set is called an asymptotic basis of order if every sufficiently large integer can be written as the sum of two elements of . Otherwise, is called an asymptotic nonbasis of order . Let denote the number of representations of in the form , where and . An asymptotic nonbasis of order is called a maximal asymptotic nonbasis of order if is an asymptotic basis of order for every . In this paper, a maximal asymptotic nonbasis is constructed satisfying for all and as , where is an increasing sequence of . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 14
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 129548052
- Full Text :
- https://doi.org/10.1142/S1793042118500550