A new approach to the spectral theory of the fourth moment of the Riemann zeta-function

@inproceedings{Bruggeman2003ANA,
  title={A new approach to the spectral theory of the fourth moment of the Riemann zeta-function},
  author={Roelof Bruggeman and Yoichi Motohashi},
  year={2003}
}
The aim of the present article is to exhibit a new proof of the explicit formula for the fourth moment of the Riemann zeta-function that was established by the second named author a decade ago. Our proof is new, particularly in that it dispenses altogether with the spectral theory of sums of Kloosterman sums that played a predominant rôle in the former proof. Our argument is, instead, built directly upon the spectral structure of the space L2(Γ\G), with Γ = PSL2(Z) and G = PSL2(R). The… CONTINUE READING