Czechoslovak Mathematical Journal, first online, pp. 1-13
On certain $GL(6)$ form and its Rankin-Selberg convolution
Amrinder Kaur, Ayyadurai Sankaranarayanan
Received August 2, 2023. Published online February 9, 2024.
Abstract: We consider $L_G(s)$ to be the $L$-function attached to a particular automorphic form $G$ on $GL(6)$. We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg $L$-function $L_{G \times G}(s)$. As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of $L_{G \times G}(s)$.
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Affiliations: Amrinder Kaur (corresponding author), Ayyadurai Sankaranarayanan, School of Mathematics and Statistics, University of Hyderabad, Hyderabad, Telangana, 500046, India, e-mail: amrinder1kaur@gmail.com, sank@uohyd.ac.in
