Bidisha Roy

activity

20182026

most citedThe Determination of 2-color zero-sum generalized Schur Numbers

1 citations · 1 across the 12 of their papers we have counts for

collaborators

13 papers

math.NT2026

On existence of generalised Lehmer numbers modulo primes

Bikram Misra, Bidisha Roy, B. Sury

In this article, we discuss a multivariable analogue of Lehmer's parity problem. We generalise the notions of Lehmer numbers as Lehmer $q$ -tuples for a fixed odd prime $q$ . We coun…

math.NT2026

Classification of the rank of a certain family of elliptic curves

Arkabrata Ghosh, Bidisha Roy, Richa Sharma

In this article, we study the family of elliptic curves $E_{- 2 pq} : y^{2} = x^{3} - 2 pq x$ , where $p$ and $q$ are distinct odd primes. Using a $2$ -isogeny methods and some elementary techniq…

math.NT2023

Elliptic curve over totally real fields: A Survey

Bidisha Roy, Lalit Vaishya

In this survey article, we summarise the known results towards the conjecture: elliptic curves over totally real number fields are modular. For understanding these recent results i…

math.NT2023

Transcendence measure of $e^{1/ n}$

Marta Dujella, Anne-Maria Ernvall-Hytönen, Linda Frey +1

For a given transcendental number $ξ$ and for any polynomial $P (X) =: λ_{0} + \dots + λ_{k} X^{k} \in Z [X]$ , we know that $P (ξ) \neq = 0.$ Let $k \geq 1$ and $ω (k, H)$ be the infimum…

math.NT2022

Frobenius constants for families of elliptic curves

Bidisha Roy, Masha Vlasenko

The paper deals with a class of periods, Frobenius constants, which describe monodromy of Frobenius solutions of differential equations arising in algebraic geometry. We represent…

math.NT2021

Moments of Gaussian hypergeometric functions over finite fields

Ankan Pal, Bidisha Roy, Mohammad Sadek

We prove explicit formulas for certain first and second moment sums of families of Gaussian hypergeometric functions $_{n + 1} F_{n}$ , $n \geq 1$ , over finite fields with $q$ elements wher…

math.NT2021

Torsion groups of Mordell curves over number fields of higher degree

Tomislav Gužvić, Bidisha Roy

Mordell curves over a number field $K$ are elliptic curves of the form $y^{2} = x^{3} + c$ , where $c \in K ∖ {0}$ . Let $p \geq 5$ be a prime number, $K$ a number field suc…

math.NT2019

Torsion groups of Mordell curves over cubic and sextic fields

Pallab Kanti Dey, Bidisha Roy

In this paper, we classify torsion groups of rational Mordell curves explicitly over cubic fields as well as over sextic fields. Also, we classify torsion groups of Mordell curves…

math.NT2018

Distribution of residues modulo $p$ using the Dirichlet's class number formula

Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar +1

Let $p$ be an odd prime number. In this article, we study the number of quadratic residues and non-residues modulo $p$ which are multiples of $2$ or $3$ or $4$ and lying in the int…

math.NT2018

Quadratic non-residues and non-primitive roots satisfying a coprimality condition

Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar +1

Let $q \geq 1$ be any integer and let $ε \in [\frac{1}{11}, \frac{1}{2})$ be a given real number. In this short note, we prove that for all primes $p$ satisfying $$ p\equiv 1\pmod{q…

math.CO2018

On determination of Zero-sum $ℓ$ -generalized Schur Numbers for some linear equations

Bidisha Roy, Subha Sarkar

Let $r$ , $m$ and $k \geq 2$ be positive integers such that $r ∣ k$ and let $v \in [0, ⌊ \frac{k - 1}{2 r} ⌋]$ be any integer. For any integer $\ell \in [1, k]…

math.NT2018

On Fractionally Dense Sets

Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar

In this article, we prove some subsets of the set of natural numbers $N$ and any non-zero ideals of an order of imaginary quadratic fields are fractionally dense in $\math…

math.CO2018★ 1 cited

The Determination of 2-color zero-sum generalized Schur Numbers

Aaron Robertson, Bidisha Roy, Subha Sarkar

Consider the equation $E : x_{1} + \dots + x_{k - 1} = x_{k}$ and let $k$ and $r$ be positive integers such that $r ∣ k$ . The number $S_{z, 2} (k; r)$ is defined to be…

On existence of generalised Lehmer numbers modulo primes

Classification of the rank of a certain family of elliptic curves

Elliptic curve over totally real fields: A Survey

Transcendence measure of e1/n

Frobenius constants for families of elliptic curves

Moments of Gaussian hypergeometric functions over finite fields

Torsion groups of Mordell curves over number fields of higher degree

Torsion groups of Mordell curves over cubic and sextic fields

Distribution of residues modulo p using the Dirichlet's class number formula

Quadratic non-residues and non-primitive roots satisfying a coprimality condition

On determination of Zero-sum ℓ-generalized Schur Numbers for some linear equations

On Fractionally Dense Sets

The Determination of 2-color zero-sum generalized Schur Numbers

Transcendence measure of $e^{1/ n}$

Distribution of residues modulo $p$ using the Dirichlet's class number formula

On determination of Zero-sum $ℓ$ -generalized Schur Numbers for some linear equations