The Problem Of Lipschitz Condition

In our paper we prove that the Smarandache function S does not verify the Lipschitz condition, giving an answer to a problem proposed in 2 and we investigate also tbe possibility that some other function, which involve the function S, verify or nor verify the Lipschitz condition.

Keywords

Smarandache function, Arithmetic functions; related numbers; inversion formulas, Lipschitz condition

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