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Note on the Radicals of Numbers

Constantin M. Petridi
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Abstract

We prove that for any given s > 0 the geometric mean of the radicals of the phi(n) integers less than n and relatively prime to n, is greater than K(s)R(n) ^(-s)n, where K(s) an absolute constant depending only on s.

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Constantin M. Petridi. 2006-08-01. Note on the Radicals of Numbers. https://arxiv.org/abs/math/0608014

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