An Exhibition of Exponential Sums: Visualizing Supercharacters

Year: 2015 Authors: Paula Burkhardt; Gabriel Currier; Stephan Ramon Garcia; Mathieu de Langis; Bob Lutz; Hong Suh

Core claim

Supercharacter sums on abelian groups produce visually rich complex-plane plots, and suitable choices of group data yield distinctive patterns.

Topics

supercharacters, exponential sums, complex-plane visualization, combinatorial representation theory

Domains

abelian groups, character theory, group actions, number theory, mathematical visualization, generative imagery, color mapping

Methods

orbit sums, complex-plane plotting, ad hoc coloring, cyclic group actions

Media

computer-generated plots, complex-valued images, gallery figures

Source status

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