Article - preprint
Recent work has shown that the study of supercharacters on abelian groups provides a natural framework with which to study the properties of certain exponential sums of interest in number theory. Our aim here is to initiate the study of Gaussian periods from this novel perspective. Among other things, this approach reveals that these classical objects display a dazzling array of visual patterns of great complexity and remarkable subtlety.
© 2013 William Duke, Stephan Ramon Garcia and Bob Lutz
Duke, William; Garcia, Stephan Ramon; and Lutz, Bob '13, "The Graphic Nature of Gaussian Periods" (2013). Pomona Faculty Publications and Research. 232.