Congruences for ℓ-regular partition functions modulo 3

Autor: David Furcy, David Penniston
Rok vydání: 2011
Předmět:
Zdroj: The Ramanujan Journal. 27:101-108
ISSN: 1572-9303
1382-4090
DOI: 10.1007/s11139-011-9312-3
Popis: Let bl(n) denote the number of l-regular partitions of n. Recently Andrews, Hirschhorn, and Sellers proved that b4(n) satisfies two infinite families of congruences modulo 3, and Webb established an analogous result for b13(n). In this paper we prove similar families of congruences for bl(n) for other values of l.
Databáze: OpenAIRE