Additive bases and Niven numbers
| Autor: | Sanna, Carlo |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Bull. Aust. Math. Soc. 104 (2021) 373-380 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/S0004972721000186 |
| Popis: | Let $g \geq 2$ be an integer. A natural number is said to be a base-$g$ Niven number if it is divisible by the sum of its base-$g$ digits. Assuming Hooley's Riemann Hypothesis, we prove that the set of base-$g$ Niven numbers is an additive basis, that is, there exists a positive integer $C_g$ such that every natural number is the sum of at most $C_g$ base-$g$ Niven numbers. |
| Databáze: | arXiv |
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