Esrafil Ali Molla

collaborators

3 papers

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…

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

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