UMSI 2000 Annual Report: Dennis A. Hejhal, Fellow Previous Page  |  Table of Contents  |  Next Page

Dennis A. Hejhal, Fellow


Computational Aspects of Analytic Number Theory

Research Group

Timothy L. McMurry, Supercomputing Institute Undergraduate Intern
Barry N. Rackner, Staff
James Ze Wang, Computer Science Department, Stanford University, Stanford, California
Matthew Young, Supercomputing Institute Undergraduate Intern

This group is using supercomputing resources to calculate automorphic eigenfunctions of the non-Euclidean Laplacian when the underlying Fuchsian group is one of Hecke triangle type. These eigenfunctions model quantum particles in Lobachevsky space. The codes being used are both microtaskable and parallelizable. The project is currently working to facilitate some benchmarking and possible revision of the basic algorithm. The end goal is to get all computational aspects operational and work toward implementation of calculation of the associated zeta functions (and similar functions).