作者:Blomer, Valentin; Holowinsky, Roman
作者单位:University of Toronto
摘要:Let f be an L (2)-normalized weight zero Hecke-Maa cusp form of square-free level N, character chi and Laplacian eigenvalue lambda a parts per thousand yen1/4. It is shown that aEuro-faEuro-(a)a parts per thousand(a) (lambda) N (-1/37), from which the hybrid bound aEuro-faEuro-(a)a parts per thousand(a)lambda (1/4)(N lambda)(-delta) (for some delta > 0) is derived. The first bound holds also for f=y (k/2) F where F is a holomorphic cusp form of weight k with the implied constant now depending ...
作者:Winter, Wilhelm
作者单位:University of Nottingham
摘要:We show that separable, simple, nonelementary, unital C*-algebras with finite decomposition rank absorb the Jiang-Su algebra Z tensorially. This has a number of consequences for Elliott's program to classify nuclear C*-algebras by their K-theory data. In particular, it completes the classification of C*-algebras associated to uniquely ergodic, smooth, minimal dynamical systems by their ordered K-groups.