The graphic nature of Gaussian periods
Number Theory
2014-04-15 v5 Representation Theory
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.
Keywords
Cite
@article{arxiv.1212.6825,
title = {The graphic nature of Gaussian periods},
author = {William Duke and Stephan Ramon Garcia and Bob Lutz},
journal= {arXiv preprint arXiv:1212.6825},
year = {2014}
}
Comments
15 pages, many figures. To appear in Proc. AMS