Mohd Harun

activity

20222026

collaborators

4 papers

math.NT2026

Double weighted sum involving $GL (2)$ Fourier coefficients

Himanshi Chanana, Mohd Harun

This article proves non-trivial estimates for a bilinear sum involving the Fourier coefficients of a Hecke-holomorphic or Hecke-Maass cusp form for $SL (2, Z)$ . As…

math.NT2025

Shifted convolution sum with weighted average : $G L (3) \times G L (3)$ setup

Mohd Harun, Saurabh Kumar Singh

This article will prove non-trivial estimates for the average and weighted average version of general $G L (3) \times G L (3)$ shifted convolution sums by using the circle method.

math.NT2023

Hybrid subconvexity bound for $G L (3) \times G L (2)$ $L$ -functions: t and level aspect

Mohd Harun, Sumit Kumar, Saurabh Kumar Singh

\begin{abstract} In this article, we will get non-trivial estimates for the central values of degree six Rankin-Selberg $L$ -functions $L (1/2 + i t, π \times f)$ associated with a ${GL(…

math.NT2022

Shifted Convolution Sum for $G L (3) \times G L (2)$ with Weighted Average

Mohd Harun, Saurabh Kumar Singh

In this paper, we will prove the non-trivial bound for the weighted average version of shifted convolution sum for $G L (3) \times G L (2)$ , i.e. for any $ε > 0$ and $X^{1/4+δ} \leq H \le…

Double weighted sum involving GL(2) Fourier coefficients

Shifted convolution sum with weighted average : GL(3)×GL(3) setup

Hybrid subconvexity bound for GL(3)×GL(2) L-functions: t and level aspect

Shifted Convolution Sum for GL(3)×GL(2) with Weighted Average

Double weighted sum involving $GL (2)$ Fourier coefficients

Shifted convolution sum with weighted average : $G L (3) \times G L (3)$ setup

Hybrid subconvexity bound for $G L (3) \times G L (2)$ $L$ -functions: t and level aspect

Shifted Convolution Sum for $G L (3) \times G L (2)$ with Weighted Average