Properties of rational arithmetic functions

Properties of rational arithmetic functions

Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied. First, some characterizations of such functions are established; second,...

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Main Authors: Vichian Laohakosol, Nittiya Pabhapote
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3997
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spelling doaj-ef56e607d6124db99b9d9a3a5315caef2020-11-24T23:15:35ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005243997401710.1155/IJMMS.2005.3997Properties of rational arithmetic functionsVichian Laohakosol0Nittiya Pabhapote1Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, ThailandDepartment of Mathematics, School of Science, University of the Thai Chamber of Commerce, Bangkok 10400, ThailandRational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied. First, some characterizations of such functions are established; second, possible Busche-Ramanujan-type identities are investigated; third, binomial-type identities are derived; and finally, properties of the Kesava Menon norm of such functions are proved.http://dx.doi.org/10.1155/IJMMS.2005.3997
collection DOAJ
language English
format Article
sources DOAJ
author Vichian Laohakosol
Nittiya Pabhapote
spellingShingle Vichian Laohakosol
Nittiya Pabhapote
Properties of rational arithmetic functions
International Journal of Mathematics and Mathematical Sciences
author_facet Vichian Laohakosol
Nittiya Pabhapote
author_sort Vichian Laohakosol
title Properties of rational arithmetic functions
title_short Properties of rational arithmetic functions
title_full Properties of rational arithmetic functions
title_fullStr Properties of rational arithmetic functions
title_full_unstemmed Properties of rational arithmetic functions
title_sort properties of rational arithmetic functions
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied. First, some characterizations of such functions are established; second, possible Busche-Ramanujan-type identities are investigated; third, binomial-type identities are derived; and finally, properties of the Kesava Menon norm of such functions are proved.
url http://dx.doi.org/10.1155/IJMMS.2005.3997
work_keys_str_mv AT vichianlaohakosol propertiesofrationalarithmeticfunctions
AT nittiyapabhapote propertiesofrationalarithmeticfunctions
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