Theoremata arithmetica nova methodo demonstrata
History and Overview
2012-03-12 v1
Abstract
Euler presents a third proof of the Fermat theorem, the one that lets us call it the Euler-Fermat theorem. This seems to be the proof that Euler likes best. He also proves that the smallest power x^n that, when divided by a numer N, prime to x, and that leaves a remainder of 1, is equal to the number of parts of N that are prime to n, that is to say, the number of distinct aliquot parts of N. The translation is presnted from Euler's Latin original into German.
Cite
@article{arxiv.1203.1993,
title = {Theoremata arithmetica nova methodo demonstrata},
author = {Leonhard Euler and Artur Diener and Alexander Aycock},
journal= {arXiv preprint arXiv:1203.1993},
year = {2012}
}