Minimal Niven numbers
Number Theory
2015-05-13 v1 Combinatorics
Abstract
Define a(k,q) to be the smallest positive multiple of k such that the sum of its digits in base q is equal to k. The asymptotic behavior, lower and upper bound estimates of a(k,q) are investigated. A characterization of the minimality condition is also considered.
Cite
@article{arxiv.0803.0477,
title = {Minimal Niven numbers},
author = {H. Fredricksen and E. J. Ionascu and F. Luca and P. Stanica},
journal= {arXiv preprint arXiv:0803.0477},
year = {2015}
}
Comments
28 pages, 2 figures