Saunak Bhattacharjee

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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 $∣ A mod p ∣ \leq I^\pm ∣ O_{K} / p ∣$ for every prime ideal $…

math.NT2024

On the distribution of $I ¨ (I ¨ (n))$

Saunak Bhattacharjee, Anup B. Dixit

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

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 I¨(I¨(n))

An effective estimate for the sum of two cubes problem

On the distribution of $I ¨ (I ¨ (n))$