Ramanujan sums as supercharacters
Number Theory
2014-10-23 v4 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1201.1060,
title = {Ramanujan sums as supercharacters},
author = {Christopher F. Fowler and Stephan Ramon Garcia and Gizem Karaali},
journal= {arXiv preprint arXiv:1201.1060},
year = {2014}
}
Comments
32 pages. Comments welcome