On a generalization of the Dedekind-Hölder theorem

Sen Shan Huang; Wen Sen Peng

doi:10.1007/s11139-007-9021-0

On a generalization of the Dedekind-Hölder theorem

Sen Shan Huang, Wen Sen Peng

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

The Dedekind-Hölder theorem states that Ramanujan's sum and the Von Sterneck function are identical. In this article, we extend the Dedekind-Hölder theorem by generalizing both Ramanujan's sum and the Von Sterneck function and showing that the two generalizations are identical.

Original language	English
Pages (from-to)	19-31
Number of pages	13
Journal	Ramanujan Journal
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s11139-007-9021-0
Publication status	Published - 2008 Oct 1

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

Huang, S. S., & Peng, W. S. (2008). On a generalization of the Dedekind-Hölder theorem. Ramanujan Journal, 17(1), 19-31. https://doi.org/10.1007/s11139-007-9021-0

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Access to Document

10.1007/s11139-007-9021-0