Standard Forms and Derivatives of Arithmetic Functions

Authors

  • Vichian Laohakosol Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand.
  • Kannika Kongsakorn Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand.

Keywords:

arithmetic function, Dirichlet multiplication, divisors, standard form, derivative

Abstract

The set of arithmetic functions with respect to addition and Dirichlet multiplication is a unique factorization domain but not an Euclidean domain. To find divisors in this domain is not easy. The concepts of functions in standard form and derivative-like operator due to Rearick are neither clear nor appropriate. A modification of these concepts are carried out.

Published

1992-09-30

How to Cite

Vichian Laohakosol, and Kannika Kongsakorn. 1992. “Standard Forms and Derivatives of Arithmetic Functions”. Agriculture and Natural Resources 26 (3). Bangkok, Thailand:307-9. https://li01.tci-thaijo.org/index.php/anres/article/view/241789.

Issue

Vol. 26 No. 3 (1992): July-September

Section

Research Article

License

online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
production and hosting by Kasetsart University of Research and Development Institute on behalf of Kasetsart University.