The second moment of GL(3) × GL(2) L- functions at special points from GL(3) forms

Abstract

For a fixed even SL(\mathrm{2},\mathbb{Z}) Hecke{Maass form f, we get an estimate for the second moment of L(s,{{\displaystyle \phi }}_j\times f) at special points, where {{\displaystyle \phi }}_j runs over an orthogonal basis of Hecke{Maass cusp forms for {{\displaystyle \mathrm{S}\mathrm{L}}}_{\mathrm{3}}(\mathbb{Z}).

Keywords

Rankin{Selberg L-functions / Hecke{Maass forms / Kuznetsov trace formula

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