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math.NT2026
Double weighted sum involving 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 . As…
math.NT2025
Shifted convolution sum with weighted average : setup
Mohd Harun, Saurabh Kumar Singh
This article will prove non-trivial estimates for the average and weighted average version of general shifted convolution sums by using the circle method.
math.NT2024
Hybrid subconvexity bound for -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 -functions associated with a ${GL…