Dismal Arithmetic

Details Dismal Arithmetic Dismal Arithmetic

2011-07-06

arxiv.org/abs/1107.1130v2

Mathematics

Number Theory

33 pages, 15 tables, 2 figures. Minor improvements Oct 25 2011

Scientific paper

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.

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