Talk:Dirichlet convolution

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Explain why its a Dirichlet ring, and not a field_(mathematics). Naively, it seems to have additive and multiplicative units and inverses. linas 05:00, 6 Jan 2005 (UTC)

Because only arithmetic functions for which f(1) is not 0 have inverses. I have clarified this in the article. Gandalf61 10:25, May 21, 2005 (UTC)

Weak multiplicative functions

Where do these come from? Are they the same as multiplicative (in the number-theoretic sense)? Richard Pinch (talk) 21:45, 3 September 2008 (UTC)[reply]

Yeah it looks like it just means multiplicative. The results proved in that section is that (f*g)(mn)=(f*g)(m)·(f*g)(n) for relatively prime integers m,n, which is just the definition of multiplicative. A google search for "weak multiplicative functions" returned essentially 2 results (one of which was this wiki article), so I'm removing the term weak. RobHar (talk) 23:56, 3 September 2008 (UTC)[reply]

Actually, I decided to just remove the whole section, as it was poorly written, it reiterates a statement made in the previous section, and the proof is already in the article Multiplicative functions. RobHar (talk) 00:00, 4 September 2008 (UTC)[reply]