Exact formulas for the number of partitions with parts in a finite set are proved without the use of partial fractions. Corresponding formulas with parts outside of a finite set are found. Several numerical examples are given.
Publié le : 2002-05-14
Classification:
Partitions,
asymptotics of partitions,
additive number theory,
11P81,
05A17,
11B34
@article{1057864654,
author = {Almkvist, G.},
title = {Partitions with Parts in a Finite Set and with Parts Outside a Finite Set},
journal = {Experiment. Math.},
volume = {11},
number = {3},
year = {2002},
pages = { 449-456},
language = {en},
url = {http://dml.mathdoc.fr/item/1057864654}
}
Almkvist, G. Partitions with Parts in a Finite Set and with Parts Outside a Finite Set. Experiment. Math., Tome 11 (2002) no. 3, pp. 449-456. http://gdmltest.u-ga.fr/item/1057864654/