Abstract
Let \( f :\,]0,\infty[\to \Bbb R \) be a real valued function on the set of positive reals. The functional equations¶¶\( f(x + y) - f(x) - f(y) = f(x^{-1} + y^{-1}) \)¶and¶\( f(xy) = f(x) + f(y) \)¶are equivalent to each other.
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