Let $d\ge 2$ be an integer. We prove that for almost all partitions of an integer the parts are well distributed in residue classes mod d. The limitations of the uniformity of this distribution are also studied.
Publié le : 2004-07-05
Classification:
residue classes,
partitions,
residue classes.,
11P82,
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
@article{hal-00130635,
author = {Dartyge, C\'ecile and Sarkozy, Andras},
title = {Arithmetic Properties of Summands of Partitions},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00130635}
}
Dartyge, Cécile; Sarkozy, Andras. Arithmetic Properties of Summands of Partitions. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00130635/