| 1. | The article on multiplicative functions lists several convolution relations among important multiplicative functions.
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| 2. | The article on multiplicative functions lists several convolution relations among important multiplicative functions.
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| 3. | A multiplicative function modeled after this phenomenon was created.
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| 4. | One may construct a function obeying the multiplication theorem from any totally multiplicative function.
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| 5. | The convolution of two completely multiplicative functions is multiplicative, but not necessarily completely multiplicative.
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| 6. | The non-zero multiplicative functions form a subgroup of the group of units of ?.
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| 7. | One consequence of this is that for any completely multiplicative function " f " one has
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| 8. | Given a completely multiplicative function " f ", then, where juxtaposition represents pointwise multiplication.
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| 9. | In particular, the values of multiplicative functions are determined by their values on the powers of prime numbers.
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| 10. | :: : : Or use the rather awkward " multiplicative but not completely multiplicative function ".
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