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

  • Amrinder Kaur,
  • Ayyadurai Sankaranarayanan

摘要

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).