Pranjal Talukdar

collaborators

2 papers

math.NT2023

Ramanujan-type Congruences for Partition $k$ -Tuples with $5$ -Cores

Manjil P. Saikia, Abhishek Sarma, Pranjal Talukdar

We prove several Ramanujan-type congruences modulo powers of $5$ for partition $k$ -tuples with $5$ -cores, for $k = 2, 3, 4$ . We also prove some new infinite families of congruences m…

math.NT2022

Congruences for $k$ -elongated plane partition diamonds

Nayandeep Deka Baruah, Hirakjyoti Das, Pranjal Talukdar

In the eleventh paper in the series on MacMahons partition analysis, Andrews and Paule [1] introduced the $k$ elongated partition diamonds. Recently, they [2] revisited the topic.…

Ramanujan-type Congruences for Partition k-Tuples with 5-Cores

Congruences for k-elongated plane partition diamonds

Ramanujan-type Congruences for Partition $k$ -Tuples with $5$ -Cores

Congruences for $k$ -elongated plane partition diamonds