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arXiv · 1305.6015

On Mobius and Liouville functions of order $k$

Yusuke Fujisawa
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Abstract

Let $F$ be a number field, $k$ a positive integer. In this paper, we define the Mobius and Liouville functions of order $k$ in $F$. We give a formula about the partial sums of them by using elementary number theory and complex analysis. Moreover, we also consider the number of $k$-free ideals of the integer ring of $F$.

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Yusuke Fujisawa. 2014-02-21. On Mobius and Liouville functions of order $k$. https://arxiv.org/abs/1305.6015

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