Date of Degree
2011
Document Type
dissertation
Degree Name
PhD (Doctor of Philosophy)
Department
Mathematics
First Advisor
Yangbo Ye
Abstract
In this paper we deduce a prime number theorem for the L-function L(s; AIE=Q() AIF=Q(0)) where and 0 are automorphic cuspidal representations of GLn=E and GLm=F, respectively, with E and F solvable algebraic number elds with a Galois invariance assumption on the representations. Here AIF=Q denotes the automorphic induction functor. We then use the proof of the prime number theorem to compute the n-level correlation function of a product of L-functions dened over cyclic algebraic number elds of prime degree.
Pages
iii, 68
Bibliography
66-68
Copyright
Copyright 2011 Timothy Lee Gillespie
Recommended Citation
Gillespie, Timothy Lee. "Superposition of zeros of automorphic L-functions and functoriality." dissertation, University of Iowa, 2011.
http://ir.uiowa.edu/etd/1223.