Mathematics > Number Theory
[Submitted on 19 Oct 2024]
Title:Further Arithmetic Properties of Overcubic Partition Triples
View PDF HTML (experimental)Abstract:In this short note, we prove several new congruences for the overcubic partition triples function, using both elementary techniques and the theory of modular forms. These extend the recent list of such congruences given by Nayaka, Dharmendra, and Kumar (2024). We also generalize overcubic partition triples to overcubic partition $k$-tuples and prove a few arithmetic properties for these type of partitions.
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