Hirakjyoti Das

collaborators

2 papers

math.NT2022

Witness identities for three Ramanujan congruences

Nayandeep Deka Baruah, Hirakjyoti Das, Abhishek Sarma

For the unrestricted partition function $p (n)$ for integers $n \geq 0$ , it is known that $p (49 n + 19) \equiv 0 (mod 49)$ , $p (49 n + 33) \equiv 0 (mod 49)$ , and $p(49n + 40) \equiv…

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.…

Witness identities for three Ramanujan congruences

Congruences for k-elongated plane partition diamonds

Congruences for $k$ -elongated plane partition diamonds