On some Generalizations of Wilson's Theorem and How to Characterize Carmichael Numbers by Stirling Numbers

Abstract : This work uses a combinatorial identity involving Stirling's numbers of the second kind to prove and generalize Wilson's theorem in an original manner. Then, again using this relation , we show new characterizations of Carmichael's numbers.
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https://hal.archives-ouvertes.fr/hal-01562678
Contributor : Khaled Ben Letaief <>
Submitted on : Monday, July 17, 2017 - 12:58:36 AM
Last modification on : Wednesday, January 31, 2018 - 2:00:02 PM
Long-term archiving on : Friday, January 26, 2018 - 11:31:41 PM

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Khaled Ben Letaïef. On some Generalizations of Wilson's Theorem and How to Characterize Carmichael Numbers by Stirling Numbers. 2017. ⟨hal-01562678⟩

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