The Graphic Nature of Gaussian Periods

Authors

William Duke
Stephan Ramon Garcia, Pomona CollegeFollow
Bob Lutz '13, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article - preprint

Department

Mathematics (Pomona)

Publication Date

2013

Keywords

Gaussian periods

Abstract

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.

Comments

Pre-print from arXiv:

Duke, W., Garcia, S.R., Lutz, B., The graphic nature of Gaussian periods, (submitted). http://arxiv.org/abs/1212.6825

Rights Information

© 2013 William Duke, Stephan Ramon Garcia and Bob Lutz

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Duke, William; Garcia, Stephan Ramon; and Lutz, Bob '13, "The Graphic Nature of Gaussian Periods" (2013). Pomona Faculty Publications and Research. 232.
https://scholarship.claremont.edu/pomona_fac_pub/232