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Sectio Computatorica

Volumes » Volume 54 (2023)

https://doi.org/10.71352/ac.54.307

Mean-values associated with a generalized
Schemmel function

Jörn Steuding and Ade Irma Suriajaya

Abstract. We prove mean-value results for Schemmel's function (generalizing Euler's totient function). This function was originally defined to count the number of sets of \(m\) consecutive integers each being \(\leq n\) and coprime to \(n\). We generalize this to all integers \(m\) and consider its various mean-values.

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