Some congruences modulo 2 and 5 for bipartition with 5-core

• Main Authors: Nipen Saikia, Chayanika Boruah
• Format: Article
• Language: English
• Published: Emerald Publishing 2017-07-01
• Series: Arab Journal of Mathematical Sciences
• Subjects: Bipartition; 5-core partition; Partition congruence
• Online Access: http://www.sciencedirect.com/science/article/pii/S1319516616300147
• ISSN: 1319-5166

We find some congruences modulo 2 and 5 for the number of bipartitions with 5-core for a positive integer n in the spirit of Ramanujan.