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