A new additive function and the F. Smarandache function.

Scientia MagnaVol. 5 Nbr. 1, January 2009

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A new additive function and the F. Smarandache function.

[section]1. Introduction and result

Let [Florin] (n) be an arithmetical function, we call [Florin] (n) as an additive function, if for any positive integers m, n with (m, n) = 1, we have [Florin] (mn) = [Florin] (m) + [Florin] (n). We call [Florin] (n) as a complete additive function, if for any positive integers r and s, [Florin] (rs) = [Florin] (r) + [Florin] (s). In...

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