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[RETRACTED] Introducing the Fractional Arithmetic Derivative

[NOTICE: The conclusion of this post is hereby retracted because it turns out that the proposed definition of a "fractional arithmetic derivative" doesn't actually make sense. It fails to meet the...

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Computing the Arithmetic Derivative

Jurij Kovič's paper "The Arithmetic Derivative and Antiderivative" contains a curious remark in Section 1.2. Having just stated the definition of the logarithmic arithmetic derivative (L(n) = n′/n = Σj...

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