@techreport{TD:100596,
	att_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.
}},
	att_authors={da1287, ns1913},
	att_categories={},
	att_copyright={{Journal of Integer Sequences}},
	att_copyright_notice={{The definitive version was published in Journal of Integer Sequences. {{, Volume 14}}{{, Issue 9}}{{, 2011-12-31}}{{, https://cs.uwaterloo.ca/journals/JIS/VOL14/Sloane/carry2.pdf}}
}},
	att_donotupload={},
	att_private={false},
	att_projects={},
	att_tags={Carryless arithmetic,  squares,  primes,  divisors,  compositions,  partitions,  asymptotic expansions,  Mellin transform},
	att_techdoc={true},
	att_techdoc_key={TD:100596},
	att_url={http://web1.research.att.com:81/techdocs_downloads/TD:100596_DS1_2011-07-07T18:43:34.546Z.pdf},
	author={David Applegate and Neil Sloane and Marc LeBrun},
	institution={{Journal of Integer Sequences}},
	month={December},
	title={{Dismal Arithmetic}},
	year=2011,
}