Abstract
We consider LG(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 LG×G(s). As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of LG×G(s).
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The first author is supported by University Grants Commission’s NET Senior Research Fellowship (Ref. No. 1004/(CSIRUGC NET Dec. 2017)).
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Kaur, A., Sankaranarayanan, A. On certain GL(6) form and its Rankin-Selberg convolution. Czech Math J (2024). https://doi.org/10.21136/CMJ.2024.0355-23
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DOI: https://doi.org/10.21136/CMJ.2024.0355-23