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oai:null:10339/385172026-09-02T13:27:21Zcom_10339_14934col_10339_38132

Thorner, Jesse 2013-06-06T21:19:23Z 2013-06-06T21:19:23Z 2013 https://wakespace.lib.wfu.edu/handle/10339/38517 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. en Wake Forest University Equidistribution Newform Number Theory Sato-Tate Conjecture THE EFFECTIVE SATO-TATE CONJECTURE AND DENSITIES PERTAINING TO LEHMER-TYPE QUESTIONS Thesis Rouse, Jeremy A Berenhaut, Kenneth S Howard, Fredric T Mathematics open.access