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

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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…

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

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