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arXiv · 2312.12011

Arithmetic properties modulo powers of $2$ for overpartition $k$-tuples with odd parts

Manjil P. Saikia·Abhishek Sarma·James A. Sellers
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Abstract

Recently, Drema and Saikia (2023) proved several congruences modulo powers of 2 and 3 for overpartition triples with odd parts. We extend their list substantially. We prove several congruences modulo powers of 2 for overpartition k-tuples with odd parts, along with a few infinite families of congruences for overpartition triples with odd parts and for overpartition k-tuples with odd parts (for k = 4 and for odd k).

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Manjil P. Saikia, Abhishek Sarma, James A. Sellers. 2023-12-19. Arithmetic properties modulo powers of $2$ for overpartition $k$-tuples with odd parts. https://arxiv.org/abs/2312.12011

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