Bidisha Roy

activity

20182021

collaborators

7 papers

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…

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

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