Joshua Harrington, Matthew Litman, Tony W. H. Wong
Published 2023-03-12Version 1
For an integer $b\geq 2$, a positive integer is called a $b$-Niven number if it is a multiple of the sum of the digits in its base-$b$ representation. In this article, we show that every arithmetic progression contains infinitely many $b$-Niven numbers.
Journal: Bull. Aust. Math. Soc. 109 (2024) 409-413
Representation of positive integers by the form $x^3+y^3+z^3-3xyz$
On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $\left\lfloor \frac{n^2}{a} \right\rfloor$
Additive bases and Niven numbers
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