Superposition of zeros of automorphic L-functions and functoriality
by Gillespie, Timothy Lee, Ph.D., THE UNIVERSITY OF IOWA, 2011, 75 pages; 3473177

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.

 
AdviserYangbo Ye
SchoolTHE UNIVERSITY OF IOWA
SourceDAI/B 72-12, p. , Oct 2011
Source TypeDissertation
SubjectsApplied mathematics; Mathematics
Publication Number3473177
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