Journal Title/Source
Alabama Journal of Mathematics
Publication Date
2023
Volume
46
Page Numbers
6-11
Document Type
Journal Article
Department
Mathematics and Computer Science
Abstract
Herein, we offer a gentle yet rigorous introduction to both modular arithmetic and the elementary combinatorics of the common shift mapping, culminating in self-contained and accessible proofs of various cases of a general Euler Totient Function Theorem, Fermat’s Little Theorem included. The reader may consider this an homage to T.P. Kirkman and W.S.B. Woolhouse for their pioneering work in elementary combinatorics [2], [3]. We recommend [1] both as a primer on the shift mapping and as an engaging example of elementary mathematics transmogrified.
Recommended Citation
Phillips, J.D., "A SHIFTY APPROACH TO LITTLE THEOREMS" (2023). Journal Articles. 524.
https://commons.nmu.edu/facwork_journalarticles/524