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Published online by Cambridge University Press:  29 January 2024

Department of Mathematics, Soochow University, Suzhou 215006, PR China


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.

Research Article
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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This work is supported by NSFC (National Natural Science Foundation of China) through Grant No. NSFC 12071331.


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