Dismal Arithmetic

• Published in 2011
• Added on 2016-05-19

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.

Links

• http://arxiv.org/abs/1107.1130v2
• http://arxiv.org/pdf/1107.1130v2

Other information

BibTeX entry

@article{DismalArithmetic,
	key = {DismalArithmetic},
	type = {article},
	title = {Dismal Arithmetic},
	author = {David Applegate and Marc LeBrun and N. J. A. Sloane},
	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.},
	comment = {},
	date_added = {2016-05-19},
	date_published = {2011-04-10},
	urls = {http://arxiv.org/abs/1107.1130v2,http://arxiv.org/pdf/1107.1130v2},
	collections = {Unusual arithmetic,Easily explained,Integerology},
	url = {http://arxiv.org/abs/1107.1130v2 http://arxiv.org/pdf/1107.1130v2},
	urldate = {2016-05-19},
	archivePrefix = {arXiv},
	eprint = {1107.1130},
	primaryClass = {math.NT},
	year = 2011
}