2023/12/19 by Saikia, Manjil P., Sarma, Abhishek, Sellers, James A. · 1 citation
#11P81 #11P83 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2312.12011
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).