The graphic nature of Gaussian periods

Duke, William; Garcia, Stephan; Lutz, Bob

doi:10.1090/S0002-9939-2015-12322-2

The graphic nature of Gaussian periods
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by William Duke, Stephan Ramon Garcia and Bob Lutz PDF

Proc. Amer. Math. Soc. 143 (2015), 1849-1863 Request permission

Abstract:

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. Our aim here is to initiate the study of Gaussian periods from this novel perspective. Among other things, our approach reveals that these classical objects display dazzling visual patterns of great complexity and remarkable subtlety.

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