Archivio Istituzionale della RicercaLet g≥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 Cg such that every natural number is the sum of at most Cg base-g Niven numbers.
Additive bases and Niven numbers / Sanna, Carlo. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - STAMPA. - 104:3(2021), pp. 373-380. [10.1017/S0004972721000186]
Additive bases and Niven numbers
CARLO SANNA
2021
Abstract
Let g≥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 Cg such that every natural number is the sum of at most Cg base-g Niven numbers.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2883056