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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3997 |
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| _version_ | 1850162887591460864 |
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| author | Vichian Laohakosol Nittiya Pabhapote |
| author_facet | Vichian Laohakosol Nittiya Pabhapote |
| author_sort | Vichian Laohakosol |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ef56e607d6124db99b9d9a3a5315caef |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ef56e607d6124db99b9d9a3a5315caef2025-08-20T02:22:26ZengWileyInternational 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 |
| spellingShingle | Vichian Laohakosol Nittiya Pabhapote Properties of rational arithmetic functions International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Properties of rational arithmetic functions |
| title_sort | properties of rational arithmetic functions |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3997 |
| work_keys_str_mv | AT vichianlaohakosol propertiesofrationalarithmeticfunctions AT nittiyapabhapote propertiesofrationalarithmeticfunctions |