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Research Article

ScienceAsia 27 (2001) : 199-202 |doi: 10.2306/scienceasia1513-1874.2001.27.199


Arithmetic Functions and Operators

Vichian Laohakosola, Nittiya Pabhapoteb,* and Nalinee Wechwiriyakulb

ABSTRACT: Basic results about arithmetic functions and their major operations, namely, valuation, derivation and operators, are collected. The logarithmic and related operators, introduced and applied in 1968 by D Rearick to establish isomorphisms among various groups of real-valued arithmetic functions are extended to complex-valued arithmetic functions along the original lines suggested by him.

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a Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand.
b Department of Mathematics, The University of the Thai Chamber of Commerce, Bangkok 10400, Thailand.

* Corresponding author, E-mail: anipa@mail.utcc.ac.th

Received 22 Dec 1999, Accepted 1 May 2001