Dismal Arithmetic
Number Theory
2014-09-17 v2 Combinatorics
Abstract
Dismal arithmetic is just like the arithmetic you learned in school, only simpler: there are no carries, when you add digits you just take the largest, and when you multiply digits you take the smallest. This paper studies basic number theory in this world, including analogues of the primes, number of divisors, sum of divisors, and the partition function.
Cite
@article{arxiv.1107.1130,
title = {Dismal Arithmetic},
author = {David Applegate and Marc LeBrun and N. J. A. Sloane},
journal= {arXiv preprint arXiv:1107.1130},
year = {2014}
}
Comments
33 pages, 15 tables, 2 figures. Minor improvements Oct 25 2011