Subha Sarkar

activity

20142022

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

2 citations · 6 across the 15 of their papers we have counts for

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Showing 2018 · math.NTShow all

3 papers · 2 filters

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.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…

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

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

On Fractionally Dense Sets

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