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arXiv · 1108.2579

The Arithmetic of Carmichael Quotients

Min Sha
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Abstract

Carmichael quotients for an integer $m\ge 2$ are introduced analogous to Fermat quotients, by using Carmichael function $\lambda(m)$. Various properties of these new quotients are investigated, such as basic arithmetic properties, sequences derived from Carmichael quotients, Carmichael-Wieferich numbers, and so on. Finally, we link Carmichael quotients to perfect nonlinear functions.

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Min Sha. 2011-08-12. The Arithmetic of Carmichael Quotients. https://arxiv.org/abs/1108.2579

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