Esrafil Ali Molla

activity

20212026

most citedA generalization of Tóth identity in

F_{q} [T]

involving a Dirichlet Character

1 citations · 1 across the 5 of their papers we have counts for

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8 papers · 1 filter

math.NT2026

Pairs of quadrics in eleven variables over number fields

Esrafil Ali Molla

A nested version of the $δ$ -method is developed for number fields $K/\QQ$ and is used to establish an asymptotic formula for the number of $K$ -rational points of bounded height on…

math.NT2026

The distribution of $α π$ modulo one in $F q (T)$ : beyond Matomäki's exponent

Esrafil Ali Molla

Let $α$ be an element of $\Fq((1/T))$ which is not in $\Fq(T)$. We ask how small $\nrm{απ}$ can be made when $π$ runs over irreducible polynomials, and write $θ (α)$ for the largest…

math.NT2025

Average shifted convolution sum for $G L (d_{1}) \times G L (d_{2})$

Esrafil Ali Molla

We study the average shifted convolution sum $B (H, N) := \frac{1}{H} h \sim H \sum n \sim N \sum A_{π_{1}} (n) A_{π_{2}} (n + h),$ where $A_{π_{i}} (n)$ denotes the Fourier coefficien…

math.NT2025

A Bombieri-Vinogradov theorem for sectors in real quadratic number fields

Stephan Baier, Esrafil Ali Molla

We establish a Bombieri-Vinogradov theorem for sectors in real quadratic number fields.

math.NT2023

Diophantine approximation with prime denominator in quadratic number fields under GRH

Stephan Baier, Sourav Das, Esrafil Ali Molla

Matomäki proved that if $α \in R$ is irrational, then there are infinitely many primes $p$ such that $∣ α - a / p ∣ \leq p^{- 4/3 + ε}$ for a suitable integer a. In this pap…

math.NT2023

Diophantine approximation with prime denominator in real quadratic function fields

Stephan Baier, Esrafil Ali Molla

In the thirties of the last century, I. M. Vinogradov proved that the inequality $∣∣ p α ∣∣ \leq p^{- 1/5 + ε}$ has infinitely prime solutions $p$ , where $∣∣.∣∣$ denotes the dist…

math.NT2022★ 1 cited

A generalization of Tóth identity in $F_{q} [T]$ involving a Dirichlet Character

Esrafil Ali Molla, Subha Sarkar

Let $A = F_{q} [T]$ be the polynomial ring over the finite field $F_{q}$ . In this article, we prove a generalization of Tóth identity on $A$ involving…

math.NT2021

Diophantine approximation with prime restriction in function fields

Stephan Baier, Esrafil Ali Molla, with an appendix by Arijit Ganguly

In the thirties of the last century, I. M. Vinogradov established uniform distribution modulo 1 of the sequence $p α$ when $α$ is a fixed irrational real number and $p$ runs over th…

Pairs of quadrics in eleven variables over number fields

The distribution of απ modulo one in Fq(T): beyond Matomäki's exponent

Average shifted convolution sum for GL(d1​)×GL(d2​)

A Bombieri-Vinogradov theorem for sectors in real quadratic number fields

Diophantine approximation with prime denominator in quadratic number fields under GRH

Diophantine approximation with prime denominator in real quadratic function fields

A generalization of Tóth identity in Fq​[T] involving a Dirichlet Character

Diophantine approximation with prime restriction in function fields

The distribution of $α π$ modulo one in $F q (T)$ : beyond Matomäki's exponent

Average shifted convolution sum for $G L (d_{1}) \times G L (d_{2})$

A generalization of Tóth identity in $F_{q} [T]$ involving a Dirichlet Character