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arXiv · 2411.00013

Further Arithmetic Properties of Overcubic Partition Triples

Manjil P. Saikia·Abhishek Sarma
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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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BibTeXRIS

Manjil P. Saikia, Abhishek Sarma. 2024-10-19. Further Arithmetic Properties of Overcubic Partition Triples. https://doi.org/10.1017/s000497272400114x

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