Journal of the Ramanujan Mathematical Society

Volume 40, Issue 2, June 2025 pp. 107–123.

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

Authors: Manjil P. Saikia, Abhishek Sarma and James A. Sellers
Author institution:Mathematical and Physical Sciences division, School of Arts and Sciences, Ahmedabad University, Ahmedabad, Gujarat 380 009, India.

Summary: 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 overpartition k-tuples with odd parts (for k = 4 and for odd k).

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