The Arithmetic of Carmichael Quotients
Number Theory
2016-05-03 v7
Abstract
Carmichael quotients for an integer are introduced analogous to Fermat quotients, by using Carmichael function . 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.
Cite
@article{arxiv.1108.2579,
title = {The Arithmetic of Carmichael Quotients},
author = {Min Sha},
journal= {arXiv preprint arXiv:1108.2579},
year = {2016}
}
Comments
Proposition 4.3 is corrected