The image of Carmichael's $λ$-function

Kevin Ford; Florian Luca; Carl Pomerance

doi:10.2140/ant.2014.8.2009

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arXiv · 1408.6506

The image of Carmichael's $λ$-function

Kevin Ford·Florian Luca·Carl Pomerance

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Abstract

We show that the counting function of the set of values of the Carmichael $λ$-function is $x/(\log x)^{η+o(1)}$, where $η=1-(1+\log\log 2)/(\log 2)=0.08607...$.

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Kevin Ford, Florian Luca, Carl Pomerance. 2014-11-24. The image of Carmichael's $λ$-function. https://doi.org/10.2140/ant.2014.8.2009

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