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math.NT2012
The graphic nature of Gaussian periods
William Duke, Stephan Ramon Garcia, Bob Lutz
Recent work has shown that the study of supercharacters on abelian groups provides a natural framework within which to study certain exponential sums of interest in number theory.…
math.NT2012★ 3 cited
Ramanujan sums as supercharacters
Christopher F. Fowler, Stephan Ramon Garcia, Gizem Karaali
The theory of supercharacters, recently developed by Diaconis-Isaacs and Andre, can be used to derive the fundamental algebraic properties of Ramanujan sums. This machinery frequen…