Date of Degree
PhD (Doctor of Philosophy)
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.
base change, L-function
iii, 68 pages
Includes bibliographical references (pages 66-68).
Copyright 2011 Timothy Lee Gillespie