P. Talukdar

collaborators

2 papers

math.NT2026

Internal congruences modulo powers of $2$ for overpartition tuples with odd parts

Manjil P. Saikia, Prabal Talukdar

Let $OPT_{m} (n)$ denote the number of overpartition $m$ -tuples of $n$ into odd parts. We prove that for every odd $m \geq 1$ and every $i \geq 3$ , \[\sum_{n\ge0}\Bigl(\…

math.CO2026

Hook-Length Biases in $t$ -regular partitions

Manjil P. Saikia, Prabal Talukdar

Recently, there has been a lot of work on combinatorial inequalities related to hook-lengths in $t$ -regular partitions. In this short note, we give a proof using generating functio…

Internal congruences modulo powers of 2 for overpartition tuples with odd parts

Hook-Length Biases in t-regular partitions

Internal congruences modulo powers of $2$ for overpartition tuples with odd parts

Hook-Length Biases in $t$ -regular partitions