Distribution of cusp sections in the Hilbert modular orbifold

TextLet K be a number field, let MM be the Hilbert modular orbifold of K, and let mqmq be the probability measure uniformly supported on the cusp cross sections of MM at height q  . We show that mqmq distributes uniformly with respect to the normalized Haar measure m   on MM as q   tends to zero, and relate the rate by which mqmq approaches m to the Riemann hypothesis for the Dedekind zeta function of K.VideoFor a video summary of this paper, please visit http://youtu.be/_39k9paBQjM.