Rupam Barman

activity

20122026

most citedOn Andrews' integer partitions with even parts below odd parts

17 citations · 40 across the 41 of their papers we have counts for

collaborators

51 papers

math.CO2026

On the Göllnitz-Gordon-Andrews identities via commutative algebra

Rupam Barman, Alapan Ghosh, Gurinder Singh

The Göllnitz-Gordon-Andrews identities generalize the classical partition identities discovered independently by H. Göllnitz and B. Gordon. These are Rogers-Ramanujan-type identiti…

math.CO2026

$J$ -generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra

Alapan Ghosh, Rupam Barman

The Rogers-Ramanujan-Gordon identities generalize the classical partition identities discovered independently by L. J. Rogers and S. Ramanujan. In 2021, Afsharijoo provided a commu…

math.CO2025

On hook length biases in $t$ -regular partitions

Rupam Barman, Pankaj Jyoti Mahanta, Gurinder Singh

Let $t \geq 2$ and $k \geq 1$ be integers. A $t$ -regular partition of a positive integer $n$ is a partition of $n$ such that none of its parts is divisible by $t$ . Let $b_{t, k} (n)$ den…

math.NT2024

Generalized twisted Edwards curves over finite fields and hypergeometric functions

Rupam Barman, Sipra Mairty, Sulakashna

Let $F_{q}$ be a finite field with $q$ elements. For $a, b, c, d, e, f \in F_{q}^{\times}$ , denote by $C_{a, b, c, d, e, f}$ the family of algebraic curves over $F_{q}$ …

math.NT2024

Recursive Formulas for MacMahon and Ramanujan $q$ -series

Tewodros Amdeberhan, Rupam Barman, Ajit Singh

In the present work, we extend current research in a nearly-forgotten but newly revived topic, initiated by P. A. MacMahon, on a generalized notion which relates the divisor sums t…

math.CO2024

Hook length inequalities for $t$ -regular partitions in the $t$ -aspect

Gurinder Singh, Rupam Barman

Let $t \geq 2$ and $k \geq 1$ be integers. A $t$ -regular partition of a positive integer $n$ is a partition of $n$ such that none of its parts is divisible by $t$ . Let $b_{t, k} (n)$ den…

On the Göllnitz-Gordon-Andrews identities via commutative algebra

J-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra

On hook length biases in t-regular partitions

Generalized twisted Edwards curves over finite fields and hypergeometric functions

Recursive Formulas for MacMahon and Ramanujan q-series

Hook length inequalities for t-regular partitions in the t-aspect

$J$ -generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra

On hook length biases in $t$ -regular partitions

Recursive Formulas for MacMahon and Ramanujan $q$ -series

Hook length inequalities for $t$ -regular partitions in the $t$ -aspect