Completely multiplicative functions arising from simple operations

Completely multiplicative functions arising from simple operations

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.

Bibliographic Details
Main Authors: Vichian Laohakosol, Nittiya Pabhapote
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204304163
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spelling doaj-1f38b9bc533442199e6cb1e84c7b00982020-11-24T21:17:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004943144110.1155/S0161171204304163Completely multiplicative functions arising from simple operationsVichian Laohakosol0Nittiya Pabhapote1Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, ThailandDepartment of Mathematics, Faculty of Science, The University of the Thai Chamber of Commerce, Bangkok 10400, ThailandGiven 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.http://dx.doi.org/10.1155/S0161171204304163
collection DOAJ
language English
format Article
sources DOAJ
author Vichian Laohakosol
Nittiya Pabhapote
spellingShingle Vichian Laohakosol
Nittiya Pabhapote
Completely multiplicative functions arising from simple operations
International Journal of Mathematics and Mathematical Sciences
author_facet Vichian Laohakosol
Nittiya Pabhapote
author_sort Vichian Laohakosol
title Completely multiplicative functions arising from simple operations
title_short Completely multiplicative functions arising from simple operations
title_full Completely multiplicative functions arising from simple operations
title_fullStr Completely multiplicative functions arising from simple operations
title_full_unstemmed Completely multiplicative functions arising from simple operations
title_sort completely multiplicative functions arising from simple operations
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2004-01-01
description 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.
url http://dx.doi.org/10.1155/S0161171204304163
work_keys_str_mv AT vichianlaohakosol completelymultiplicativefunctionsarisingfromsimpleoperations
AT nittiyapabhapote completelymultiplicativefunctionsarisingfromsimpleoperations
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