Rupam Barman

works on

algebraic geometry 1 dedekind domains 1 integral forms 1 p-adic numbers 1 quotient sets 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

collaborators

8 papers

math.NT2026

On $p$ -adic denseness of quotients of values of integral forms

Deepa Antony, Rupam Barman, Stevan GajoviÄ +1

The paper investigates when the set of quotients of values taken by an integral form is dense in the p‑adic numbers, proving general positive results for most primes under certain…

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.CO2026

On the GÃ¶llnitz-Gordon-Andrews identities via commutative algebra

Rupam Barman, Alapan Ghosh, Gurinder Singh

The GÃ¶llnitz-Gordon-Andrews identities generalize the classical partition identities discovered independently by H. GÃ¶llnitz and B. Gordon. These are Rogers-Ramanujan-type identi…

math.CO2025

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…

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 $F_{q}$ …

On p-adic denseness of quotients of values of integral forms

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