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

Showing 2024 · math.NTShow all

5 papers · 2 filters

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

$p$ -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_…

math.NT2024

$p$ -Adic hypergeometric functions and certain weight three newforms

Sulakashna, Rupam Barman

For an odd prime $p$ and a positive integer $n$ , let $_{n} G_{n} [\dots]_{p}$ denote McCarthy's $p$ -adic hypergeometric function. In this article, we prove $p$ -adic analogue of certain…

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…

Generalized twisted Edwards curves over finite fields and hypergeometric functions

Recursive Formulas for MacMahon and Ramanujan q-series

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

p-Adic hypergeometric functions and certain weight three newforms

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

Recursive Formulas for MacMahon and Ramanujan $q$ -series

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

$p$ -Adic hypergeometric functions and certain weight three newforms

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