Ramanujan sums as supercharacters

被引：0
|
作者：
Christopher F. Fowler
Stephan Ramon Garcia
Gizem Karaali
机构：
[1] University of Washington,Department of Mathematics
[2] Pomona College,Department of Mathematics
来源：
The Ramanujan Journal | 2014年 / 35卷
关键词：
Ramanujan sum; Multiplicative function; Arithmetic function; Even function modulo ; Supercharacter theory; Representation; Supercharacter; Kronecker product; 11L03, 11A25; 20C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The theory of supercharacters, recently developed by Diaconis-Isaacs and André, is 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.
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页码：205 / 241
页数：36
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