Superposition of zeros of automorphic L-functions and functoriality

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 t...

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Main Author:	Gillespie, Timothy Lee
Other Authors:	Ye, Yangbo
Format:	Others
Language:	English
Published:	University of Iowa 2011
Subjects:	base change L-function Mathematics
Online Access:	https://ir.uiowa.edu/etd/1223 https://ir.uiowa.edu/cgi/viewcontent.cgi?article=2607&context=etd

id	ndltd-uiowa.edu-oai-ir.uiowa.edu-etd-2607
record_format	oai_dc
spelling	ndltd-uiowa.edu-oai-ir.uiowa.edu-etd-26072019-10-13T04:49:53Z Superposition of zeros of automorphic L-functions and functoriality Gillespie, Timothy Lee 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. 2011-07-01T07:00:00Z dissertation application/pdf https://ir.uiowa.edu/etd/1223 https://ir.uiowa.edu/cgi/viewcontent.cgi?article=2607&context=etd Copyright 2011 Timothy Lee Gillespie Theses and Dissertations eng University of IowaYe, Yangbo base change L-function Mathematics
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	base change L-function Mathematics
spellingShingle	base change L-function Mathematics Gillespie, Timothy Lee Superposition of zeros of automorphic L-functions and functoriality
description	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.
author2	Ye, Yangbo
author_facet	Ye, Yangbo Gillespie, Timothy Lee
author	Gillespie, Timothy Lee
author_sort	Gillespie, Timothy Lee
title	Superposition of zeros of automorphic L-functions and functoriality
title_short	Superposition of zeros of automorphic L-functions and functoriality
title_full	Superposition of zeros of automorphic L-functions and functoriality
title_fullStr	Superposition of zeros of automorphic L-functions and functoriality
title_full_unstemmed	Superposition of zeros of automorphic L-functions and functoriality
title_sort	superposition of zeros of automorphic l-functions and functoriality
publisher	University of Iowa
publishDate	2011
url	https://ir.uiowa.edu/etd/1223 https://ir.uiowa.edu/cgi/viewcontent.cgi?article=2607&context=etd
work_keys_str_mv	AT gillespietimothylee superpositionofzerosofautomorphiclfunctionsandfunctoriality
_version_	1719264723259621376

Superposition of zeros of automorphic L-functions and functoriality

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