Geodesic
On certain $GL(6)$ form and its Rankin-Selberg convolution
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 2, pp. 415-427
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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 $L_{G \times G}(s)$.
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 $L_{G \times G}(s)$.
DOI : 10.21136/CMJ.2024.0355-23
Classification : 11F12, 11F30, 11N75
Keywords: Maass form; automorphic form; Rankin-Selberg convolution 
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Kaur, Amrinder; Sankaranarayanan, Ayyadurai. On certain $GL(6)$ form and its Rankin-Selberg convolution. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 2, pp. 415-427. doi: 10.21136/CMJ.2024.0355-23

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