149 citations · 319 across the 56 of their papers we have counts for
4 papers · 1 filter
The graphic nature of Gaussian periods
William Duke, Stephan Ramon Garcia, Bob Lutz
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.…
Supercharacters, exponential sums, and the uncertainty principle
J. L. Brumbaugh, Madeleine Bulkow, Patrick S. Fleming +6
The theory of supercharacters, which generalizes classical character theory, was recently introduced by P. Diaconis and I.M. Isaacs, building upon earlier work of C. Andre. We stud…
-algebras generated by truncated Toeplitz operators
Stephan Ramon Garcia, William T. Ross, Warren R. Wogen
We obtain an analogue of Coburn's description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetr…
Ramanujan sums as supercharacters
Christopher F. Fowler, Stephan Ramon Garcia, Gizem Karaali
The theory of supercharacters, recently developed by Diaconis-Isaacs and Andre, can be used to derive the fundamental algebraic properties of Ramanujan sums. This machinery frequen…