201708.09685v1 The arithmetic Kuznetsov formula, I - The Whittaker case

The original formulae of Kuznetsov for SL(2,Z) allowed one to study either a spectral average via Kloosterman sums or to study an average of Kloosterman sums via a spectral interpretation. In previous papers, we have developed the spectral Kuznetsov formulae at the minimal weights for SL(3,Z)), and in these formulae, the big-cell Kloosterman sums occur with wei..