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math.NT2023★ 2 cited
Sum of the Fourier coefficients over mixed powers
Himanshi Chanana, Saurabh Kumar Singh
Let be the -th Fourier coefficients of Hecke-Maass cusp form, denoted as or the triple divisor function, denoted as . Let $k \geqs…
math.NT2023
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(…
math.NT2023
Moments of derivatives of modular -functions
Sumit Kumar, Kummari Mallesham, Prahlad Sharma +1
Let be an Hecke eigenform for the group and be a primitive quadratic character of conductor . In this article, we prove an asymptotic for the second mom…