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CONGRUENCES FOR RANKS OF PARTITIONS.
- Source :
-
Bulletin of the Australian Mathematical Society . Oct2024, Vol. 110 Issue 2, p280-290. 11p. - Publication Year :
- 2024
-
Abstract
- Ranks of partitions play an important role in the theory of partitions. They provide combinatorial interpretations for Ramanujan's famous congruences for partition functions. We establish a family of congruences modulo powers of $5$ for ranks of partitions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PARTITION functions
*MODULAR functions
Subjects
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 110
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 180033414
- Full Text :
- https://doi.org/10.1017/S0004972723001454