Ramanujan sums via generalized Möbius functions and applications

Ramanujan sums via generalized Möbius functions and applications

A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classical Ramanujan sum with the Souriau-Hsu-Möbius function. After collecting basic properties of a GRS, mostly containing existing ones, seven aspects of a GRS are studied. The first shows that the unique re...

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Bibliographic Details
Main Authors: Vichian Laohakosol, Pattira Ruengsinsub, Nittiya Pabhapote
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/60528
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