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The Number of Partitions into Distinct Parts Modulo Powers of 5
Author(s) -
Lovejoy Jeremy
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001492
Subject(s) - modulo , mathematics , arithmetic , combinatorics
A relationship is established between the factorization of 24 n + 1 and the 5‐divisibility of Q ( n ), where Q ( n )is the number of partitions of n into distinct parts. As an application, an abundance of infinite families of congruences for Q ( n ) modulo powers of 5 are explicitly exhibited.