Article - preprint
supercharacters, Ramanujan sums
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 frequently yields one-line proofs of difficult identities and provides many novel formulas. In addition to exhibiting a new application of supercharacter theory, this article also serves as a blueprint for future work since some of the abstract results we develop are applicable in much greater generality.
© 2013 Springer-Verlag
Fowler, Christopher F. '12; Garcia, Stephan Ramon; and Karaali, Gizem, "Ramanujan Sums as Supercharacters" (2012). Pomona Faculty Publications and Research. 147.