The Arithmetic of Carmichael Quotients

2011/08/12 by Sha, Min
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1108.2579

Abstract

Carmichael quotients for an integer m≥ 2 are introduced analogous to Fermat quotients, by using Carmichael function λ(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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