2025/11/04 by Thomas, Kate
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2511.02790
A base-g Niven number is a natural number divisible by the sum of its base-g digits. We show that, for any g≥ 3, all sufficiently large natural numbers can be written as the sum of three base-g Niven numbers. We also give an asymptotic formula for the number of representations of a sufficiently large integer as the sum of three integers with fixed, close to average, digit sums.