Manjil P. Saikia, Abhishek Sarma
Published 2024-10-19Version 1
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.
Comments: 12 pages, to appear in the Bulletin of the Australian Mathematical Society
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On some arithmetic properties of automorphic forms of GL(m) over a division algebra
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