Every arithmetic progression contains infinitely many $b$-Niven numbers
Number Theory
2024-05-17 v1
Abstract
For an integer , a positive integer is called a -Niven number if it is a multiple of the sum of the digits in its base- representation. In this article, we show that every arithmetic progression contains infinitely many -Niven numbers.
Cite
@article{arxiv.2303.06534,
title = {Every arithmetic progression contains infinitely many $b$-Niven numbers},
author = {Joshua Harrington and Matthew Litman and Tony W. H. Wong},
journal= {arXiv preprint arXiv:2303.06534},
year = {2024}
}