Carmichael quotients for an integer ≥ 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.
Bibliographical noteA correction to this record can be found in Period Math Hung (2018) 76:271–273, https://doi.org/10.1007/s10998-017-0227-7
- Carmichael function
- Carmichael quotient
- Carmichael-Wieferich number
- Perfect nonlinear function