IJPAM: Volume 25, No. 2 (2005)

TWO ASPECTS OF GENERALIZED MÖBIUS FUNCTIONS:
LANDAU, BRAUER-RADEMACHER IDENTITIES
AND DEPENDENCE

Nittiya Pabhapote$^1$, Vichian Laohakosol$^2$, Pattira Ruengsinsub$^3$
$^1$Department of Mathematics
School of Science
The University of the Thai Chamber of Commerce
126/1 Vibhavadee - Rangsit Road, Dindaeng
Bangkok, 10400, THAILAND
e-mail: nittiyapab@utcc.ac.th
$^{2,3}$Department of Mathematics
Faculty of Science
Kasetsart University
Bangkok, 10900, THAILAND
$^2$e-mail: fscivil@ku.ac.th
$^3$e-mail: fscipar@ku.ac.th


Abstract.Two investigations are made on the so-called Souriau-Hsu-Möbius function, which is a natural generalization of the usual Möbius function. The first deals with extensions of the two arithmetical identities, known as Landau and Brauer-Radamacher identities. The second deals with algebraic dependence of these generalized Möbius functions.

Received: September 21, 2005

AMS Subject Classification: 11A25

Key Words and Phrases: generalzied Möbuis fucntion, Landau identity, Brauer-Rademacher identity, algebraic dependence

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 2