2 citations · 4 across the 9 of their papers we have counts for
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Graphical cyclic supercharacters for composite moduli
Bob Lutz
Recent work has introduced the study of graphical properties of cyclic supercharacters, functions whose values are exponential sums with clos…
Gauss' hidden menagerie: from cyclotomy to supercharacters
Stephan Ramon Garcia, Trevor Hyde, Bob Lutz
Gaussian periods, when viewed appropriately, exhibit a dazzling and eclectic host of visual qualities. This brief survey reviews the historical context and summarizes our current k…
Four quotient set gems
Bryan Brown, Michael Dairyko, Stephan Ramon Garcia +2
Our aim in this note is to present four remarkable facts about quotient sets. These observations seem to have been overlooked by the Monthly, despite its intense coverage of quotie…
A supercharacter approach to Heilbronn sums
Stephan Ramon Garcia, Bob Lutz
Various algebraic properties of Heilbronn's exponential sum can be deduced through the use of supercharacter theory, a novel extension of classical character theory due to Diaconis…
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.…