International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 9, Pages 431-441

Completely multiplicative functions arising from simple operations

Vichian Laohakosol1 and Nittiya Pabhapote2

1Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
2Department of Mathematics, Faculty of Science, The University of the Thai Chamber of Commerce, Bangkok 10400, Thailand

Received 13 April 2003

Copyright © 2004 Vichian Laohakosol and Nittiya Pabhapote. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and logarithms to be completely multiplicative, based on values at the primes, are derived together with their applications.