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Congruences modulo 9 for bipartitions with designated summands.
- Source :
- Turkish Journal of Mathematics; 2018, Vol. 42 Issue 5, p2325-2335, 11p
- Publication Year :
- 2018
-
Abstract
- Andrews, Lewis, and Lovejoy studied arithmetic properties of partitions with designated summands that are defined on ordinary partitions by tagging exactly one part among parts with equal size. A bipartition of n is an ordered pair of partitions (π1; π2) with the sum of all of the parts being n. In this paper, we investigate arithmetic properties of bipartitions with designated summands. Let PD-2(n) denote the number of bipartitions of n with designated summands. We establish several Ramanujan-like congruences and an infinite family of congruences modulo 9 satisfied by PD-2(n). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 42
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 132352996
- Full Text :
- https://doi.org/10.3906/mat-1612-114