3 papers
math.NT2026
Arithmetic Properties of Generalized Cubic and Overcubic Partitions
Hirakjyoti Das, Saikat Maity, Manjil P. Saikia
We prove several congruences satisfied by the generalized cubic and generalized overcubic partition functions, recently introduced by Amdeberhan, Sellers, and Singh. We also prove…
math.NT2026
Arithmetic Properties modulo powers of and for Overpartition -Tuples with Odd Parts
Hirakjyoti Das, Manjil P. Saikia, Abhishek Sarma
Recently, Drema and N. Saikia (2023) and M. P. Saikia, Sarma, and Sellers (2023) proved several congruences modulo powers of for overpartition triples with odd parts. In this p…
math.CO2026
Hook Length Biases in -Core Partitions
Nayandeep Deka Baruah, Hirakjyoti Das, Pankaj Jyoti Mahanta +1
Recently, the theory of hook length biases has emerged as a prominent research topic. Led by Ballantine, Burson, Craig, Folsom, and Wen [\textit{Res. Math. Sci.}, 2023], hook lengt…