ON MINIMAL ASYMPTOTIC -ADIC BASES
| Autor: | Min Tang, Dengrong Ling |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Bulletin of the Australian Mathematical Society. 92:374-379 |
| ISSN: | 1755-1633 0004-9727 |
| DOI: | 10.1017/s0004972715000805 |
| Popis: | Let$g\geq 2$be a fixed integer. Let$\mathbb{N}$denote the set of all nonnegative integers and let$A$be a subset of$\mathbb{N}$. Write$r_{2}(A,n)=\sharp \{(a_{1},a_{2})\in A^{2}:a_{1}+a_{2}=n\}.$We construct a thin, strongly minimal, asymptotic$g$-adic basis$A$of order two such that the set of$n$with$r_{2}(A,n)=2$has density one. |
| Databáze: | OpenAIRE |
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