Saunak Bhattacharjee

collaborators

3 papers

math.NT2026

Larger sieve with height function and uniform bounds for integral points on curves over number fields

Saunak Bhattacharjee

Let $A \subseteq O_{K}$ be a set of algebraic integers of height up to $H$ such that $∣ A mod p ∣ \leq α ∣ O_{K} / p ∣$ for every prime ideal $\…

math.NT2024

On the distribution of $ϕ (σ (n))$

Saunak Bhattacharjee, Anup B. Dixit

Let $ϕ (n)$ be the Euler totient function and $σ (n)$ denote the sum of divisors of $n$ . In this note, we obtain explicit upper bounds on the number of positive integers $n \leq x$ su…

math.NT2024

An effective estimate for the sum of two cubes problem

Saunak Bhattacharjee

Let $f (x, y) \in Z [x, y]$ be a cubic form with non-zero discriminant, and for each integer $m \in Z$ , let, $N_{f}(m)=\#\left\{(x, y) \in \mathbb{Z}^{2}: f(x, y)=m…

Larger sieve with height function and uniform bounds for integral points on curves over number fields

On the distribution of ϕ(σ(n))

An effective estimate for the sum of two cubes problem

On the distribution of $ϕ (σ (n))$