A note on the mean value of the zeta and L-functions. XIII

Abstract

Extending the discussion in the previous note [6] of this series, the group PSL2(C) will be dealt with in place of PSL2(R). We shall indicate that the functional structure that supports the spectral theory of Kloosterman sums in the complex case is essentially the same as in the real case, though it is more involved as can be expected.