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arxiv: 1408.6506 · v2 · pith:D2U7MQWNnew · submitted 2014-08-27 · 🧮 math.NT

The image of Carmichael's λ-function

classification 🧮 math.NT
keywords functioncarmichaellambdacountingimagevalues
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We show that the counting function of the set of values of the Carmichael $\lambda$-function is $x/(\log x)^{\eta+o(1)}$, where $\eta=1-(1+\log\log 2)/(\log 2)=0.08607...$.

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