3 papers
math.NT2009
Density results for automorphic forms on Hilbert modular groups II
R. W. Bruggeman, R. J. Miatello
We obtain an asymptotic formula for a weighted sum over cuspidal eigenvalues in a specific region, for $\SL_2$ over a totally real number field , with discrete subgroup of Hecke…
math.NT2009
Lattice points for products of upper half planes
Roelof Bruggeman, Fritz Grunewald, Roberto Miatello
Let be an irreducible lattice in $\PSL_2(\RR)^d$ ($d\in\NN$) and a point in the -fold direct product of the upper half plane. We study the discrete set of componentwise…
math.NT2003
A New Approach to the Spectral Theory of the Fourth Moment of the Riemann Zeta-Function
Roelof W. Bruggeman, Yoichi Motohashi
The aim of the present work is to exhibit a new proof of the explicit spectral expansion for the fourth moment of the Riemann zeta-function that was established by the second named…