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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204304163 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |