Rupam Barman

works on

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

From the 1 of 10 linked papers with an AI index.

activity

20242026

collaborators

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5 papers · 1 filter

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.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.NT2024

On the $p$ -adic valuation of third order linear recurrence sequences

Deepa Antony, Rupam Barman

In a recent paper, Bilu et al. studied a conjecture of Marques and Lengyel on the $p$ -adic valuation of the Tribonacci sequence. In this article, we study the $p$ -adic valuation of…

math.NT2024

$p$ -Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials

Deepa Antony, Rupam Barman

Let $(x_{n})_{n \geq 0}$ be a linear recurrence sequence of order $k \geq 2$ satisfying $x_{n} = a_{1} x_{n - 1} + a_{2} x_{n - 2} + \dots + a_{k} x_{n - k}$ for all integers $n \geq k$ , where $a_1,\dots,a_k,x_…

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

Generalized twisted Edwards curves over finite fields and hypergeometric functions

Recursive Formulas for MacMahon and Ramanujan q-series

On the p-adic valuation of third order linear recurrence sequences

p-Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials

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

Recursive Formulas for MacMahon and Ramanujan $q$ -series

On the $p$ -adic valuation of third order linear recurrence sequences

$p$ -Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials