Home WakeSpace Scholarship › Electronic Theses and Dissertations

THE EFFECTIVE SATO-TATE CONJECTURE AND DENSITIES PERTAINING TO LEHMER-TYPE QUESTIONS

Electronic Theses and Dissertations

Item Files

Item Details

abstract
We prove a completely explicit version of the Sato-Tate Conjecture for newforms f(z) on Gamma_0(N) with squarefree level. This result assumes that the symmetric power L-functions of f(z) are automorphic and satisfy the Generalized Riemann Hypothesis. We use this result to compute the density of positive integers n for which the n-th Fourier coefficient of f(z) is nonzero.
subject
Equidistribution
Newform
Number Theory
Sato-Tate Conjecture
contributor
Thorner, Jesse (author)
Rouse, Jeremy A (committee chair)
Berenhaut, Kenneth S (committee member)
Howard, Fredric T (committee member)
date
2013-06-06T21:19:23Z (accessioned)
2013-06-06T21:19:23Z (available)
2013 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/38517 (uri)
language
en (iso)
publisher
Wake Forest University
title
THE EFFECTIVE SATO-TATE CONJECTURE AND DENSITIES PERTAINING TO LEHMER-TYPE QUESTIONS
type
Thesis

Usage Statistics