Browsing Programs, Centers, and Institutes by Author "Young, Matthew P"

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    • Computing Central Values for Elliptic Curve L-functions 
      Shanks, Meghan A
      We give an experimental method for calculating the central values of elliptic curve L-functions. We begin by providing some theoretical analysis of the method, and show that, on average, with appropriate choice of parameters, ...
    • On a Series Involving Euler's Function 
      Frendreiss, William Fortune
      The goal of this thesis is to provide an in-depth analysis and discussion of an equivalence to the Riemann Hypothesis (RH) proven by Jean-Louis Nicolas. Nicolas’ proof relates RH to an inequality of Euler’s totient function ...