Dismal Arithmetic
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2011
- DOI:
- 10.48550/arXiv.1107.1130
- arXiv:
- arXiv:1107.1130
- Bibcode:
- 2011arXiv1107.1130A
- Keywords:
-
- Mathematics - Number Theory;
- Mathematics - Combinatorics;
- 06A06;
- 11A25;
- 11A63 (Primary) 11N37 (Secondary)
- E-Print:
- 33 pages, 15 tables, 2 figures. Minor improvements Oct 25 2011