Subha Sarkar

activity

20182022

most citedA generalization of Tóth identity in the ring of algebraic integers involving a Dirichlet Character

2 citations · 2 across the 3 of their papers we have counts for

collaborators

8 papers

math.NT2022

Generalization of some weighted zero-sum theorems and related Extremal sequence

Subha Sarkar

Let $G$ be a finite abelian group of exponent $n$ and let $A$ be a non-empty subset of $[1, n - 1]$ . The Davenport constant of $G$ with weight $A$ , denoted by $D_{A} (G)$ , is defined to…

math.NT2021★ 2 cited

A generalization of Tóth identity in the ring of algebraic integers involving a Dirichlet Character

Subha Sarkar

The $k$ -dimensional generalized Euler function $φ_{k} (n)$ is defined to be the number of ordered $k$ -tuples $(a_{1}, a_{2}, \dots, a_{k}) \in N^{k}$ with $1\leq a_1,a_2,\ldots, a_k \…

math.NT2020

On a generalization of Menon-Sury identity to number fields involving a Dirichlet Character

Jaitra Chattopadhyay, Subha Sarkar

For every positive integer $n$ , Sita Ramaiah's identity states that \medskip \begin{equation*} \sum_{a_1, a_2, a_1+a_2 \in (\mathbb{Z}/n\mathbb{Z})^*} \gcd(a_1+a_2-1,n) = ϕ_2(n)σ_0…

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]…

Generalization of some weighted zero-sum theorems and related Extremal sequence

A generalization of Tóth identity in the ring of algebraic integers involving a Dirichlet Character

On a generalization of Menon-Sury identity to number fields involving a Dirichlet Character

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

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