ADDITIVE BASES AND NIVEN NUMBERS

DOI10.1017/S0004972721000186zbMath1496.11014arXiv2101.07593OpenAlexW3146044571MaRDI QIDQ5013847

Carlo Sanna

Publication date: 3 December 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.07593

zbMATH Keywords

additive basissum of digitsdigitsNiven number

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Additive bases, including sumsets (11B13)

Cites Work

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• Counting the number of twin Niven numbers
• On the counting function for the generalized Niven numbers
• Additive number theory via approximation by regular languages
• Corrigendum to ``Positive integers divisible by the product of their nonzero digits, portugaliae math. 64 (2007), 1: 75 -- 85
• Additive number theory via automata theory
• Waring's theorem for binary powers
• Positive integers divisible by the product of their nonzero digits
• On the distribution in residue classes of integers with a fixed sum of digits
• Every natural number is the sum of forty-nine palindromes
• Every positive integer is a sum of three palindromes
• Cyclic Spaces for Grassmann Derivatives and Additive Theory
• On the counting function for the Niven numbers
• When is an automatic set an additive basis?
• Vinogradov’s three primes theorem with primes having given primitive roots
• On numbers divisible by the product of their nonzero base b digits
• Probability Inequalities for Sums of Bounded Random Variables

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