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On certain G L ( 6 ) form and its Rankin-Selberg convolution

Amrinder Kaur, Ayyadurai Sankaranarayanan (2024)

Czechoslovak Mathematical Journal

We consider L G ( s ) to be the L -function attached to a particular automorphic form G on G L ( 6 ) . We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg L -function L G × G ( s ) . As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of L G × G ( s ) .

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