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Browsing by Subject "Number Theory"

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Browsing by Subject "Number Theory"

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  • THE EFFECTIVE SATO-TATE CONJECTURE AND DENSITIES PERTAINING TO LEHMER-TYPE QUESTIONS 
    Thorner, Jesse (Wake Forest University, 2013)
    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 ...
  • Quadratic Forms Representing All Integers Coprime to 3 
    DeBenedetto, Justin Donald (Wake Forest University, 2015)
    Drawing up on the methods developed by Bhargava to prove "The Fifteen Theorem" and expanded by Rouse when handling integer-valued quadratic forms representing odd integers, we show that an integer-valued quadratic form ...
  • Torsion for CM Elliptic Curves Defined Over Number Fields of Degree 2p 
    Chaos, Holly Paige (Wake Forest University, 2020)
    Let E be an elliptic curve with complex multiplication defined over a number field F of degree 2p for prime p>3.In this thesis, we completely classify the torsion subgroups that can arise for number fields of degree 2p for ...