Nayandeep Deka Baruah

activity

20222024

collaborators

4 papers

math.NT2024

Arithmetic properties of $5$ -regular partitions into distinct parts

Nayandeep Deka Baruah, Abhishek Sarma

A partition is said to be $ℓ$ -regular if none of its parts is a multiple of $ℓ$ . Let $b_{5}^{'} (n)$ denote the number of 5-regular partitions into distinct parts (equivalent…

math.NT2023

Congruences for the difference of even and odd number of parts of the cubic and some analogous partition functions

Nayandeep Deka Baruah, Abhishek Sharma

Partitions wherein the even parts appear in two different colours are known as cubic partitions. Recently, Merca introduced and studied the function $A (n)$ , which is defined as the…

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.…

Arithmetic properties of 5-regular partitions into distinct parts

Congruences for the difference of even and odd number of parts of the cubic and some analogous partition functions

Witness identities for three Ramanujan congruences

Congruences for k-elongated plane partition diamonds

Arithmetic properties of $5$ -regular partitions into distinct parts

Congruences for $k$ -elongated plane partition diamonds