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arXiv · 2007.02318

On the Lehmer's totient problem on Number Fields

Konstantinos Smpokos
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Abstract

Lehmer's totient problem asks if there exists a composite number $d$ such that its totient divide $d-1$. In this article we generalize the Lehmer's totient problem in algebraic number fields. We introduce the notion of a Lehmer number. Lehmer numbers are defined to be the natural numbers which obey the Lehmer's problem in the ring of algebraic integers of a number field.

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Konstantinos Smpokos. 2020-08-26. On the Lehmer's totient problem on Number Fields. https://arxiv.org/abs/2007.02318

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