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Ramanujan sums as supercharacters
by
Stephan Ramon Garcia
, Fowler, Christopher F
, Karaali, Gizem
in
Sums
2012
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Ramanujan sums as supercharacters
by
Stephan Ramon Garcia
, Fowler, Christopher F
, Karaali, Gizem
in
Sums
2012
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Paper
Ramanujan sums as supercharacters
2012
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Overview
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.
Publisher
Cornell University Library, arXiv.org
Subject
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