DeCelles, Amy Therese2011-06-212011-06-212011-05https://hdl.handle.net/11299/107765University of Minnesota Ph.D. dissertation. May 2011. Major: Mathematics. Advisor: Paul B. Garrett. 1 computer file (PDF); iv, 105 pages.Note: See PDF abstracten-USAsymptotics of L-functionsAutomorphic spectral theoryFundamental solutionsHigher rank groupsLattice-point countingPoincare seriesMathematicsAutomorphic partial differential equations and spectral theory with applications to number theory.Thesis or Dissertation