Hemjyoti Nath

collaborators

3 papers

math.NT2024

Arithmetic of 2-regular partitions with distinct odd parts

Hemjyoti Nath

Let $p o d_{2} (n)$ denote the number of $2$ -regular partitions of $n$ with distinct odd parts (even parts are unrestricted). In this article, we obtain congruences for $p o d_{2} (n)$ mod $…

math.NT2024

Parity results of PEND partition

Hemjyoti Nath

In this paper, we consider the set of partitions $p e n d (n)$ which enumerates the number of partitions of $n$ wherein the even parts are not allowed to be distinct. Using a result of…

math.CO2024

The pod function and its connection with other partition functions

Hemjyoti Nath

The number of partitions of $n$ wherein odd parts are distinct and even parts are unrestricted, often denoted by $p o d (n)$ . In this paper, we provide linear recurrence relations for…