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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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |