Characterizing completely multiplicative functions by generalized Möbius functions
Using the generalized Möbius functions, μα, first introduced by Hsu (1995), two characterizations of completely multiplicative functions are given; save a minor condition they read (μαf)−1=μ−αf and fα=μ−αf.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012498 |
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| _version_ | 1832558201310019584 |
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| author | Vichian Laohakosol Nittiya Pabhapote Nalinee Wechwiriyakul |
| author_facet | Vichian Laohakosol Nittiya Pabhapote Nalinee Wechwiriyakul |
| author_sort | Vichian Laohakosol |
| collection | DOAJ |
| description | Using the generalized Möbius functions, μα, first
introduced by Hsu (1995), two characterizations of completely
multiplicative functions are given; save a minor condition they
read (μαf)−1=μ−αf and fα=μ−αf. |
| format | Article |
| id | doaj-art-c139b55ba9dc4d579f5591fa000d0efb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c139b55ba9dc4d579f5591fa000d0efb2025-02-03T01:33:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291163363910.1155/S0161171202012498Characterizing completely multiplicative functions by generalized Möbius functionsVichian Laohakosol0Nittiya Pabhapote1Nalinee Wechwiriyakul2Department 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, ThailandDepartment of Mathematics, Faculty of Science, The University of the Thai Chamber of Commerce, Bangkok 10400, ThailandUsing the generalized Möbius functions, μα, first introduced by Hsu (1995), two characterizations of completely multiplicative functions are given; save a minor condition they read (μαf)−1=μ−αf and fα=μ−αf.http://dx.doi.org/10.1155/S0161171202012498 |
| spellingShingle | Vichian Laohakosol Nittiya Pabhapote Nalinee Wechwiriyakul Characterizing completely multiplicative functions by generalized Möbius functions International Journal of Mathematics and Mathematical Sciences |
| title | Characterizing completely multiplicative functions by
generalized Möbius functions |
| title_full | Characterizing completely multiplicative functions by
generalized Möbius functions |
| title_fullStr | Characterizing completely multiplicative functions by
generalized Möbius functions |
| title_full_unstemmed | Characterizing completely multiplicative functions by
generalized Möbius functions |
| title_short | Characterizing completely multiplicative functions by
generalized Möbius functions |
| title_sort | characterizing completely multiplicative functions by generalized mobius functions |
| url | http://dx.doi.org/10.1155/S0161171202012498 |
| work_keys_str_mv | AT vichianlaohakosol characterizingcompletelymultiplicativefunctionsbygeneralizedmobiusfunctions AT nittiyapabhapote characterizingcompletelymultiplicativefunctionsbygeneralizedmobiusfunctions AT nalineewechwiriyakul characterizingcompletelymultiplicativefunctionsbygeneralizedmobiusfunctions |