English

A short proof of the simple continued fraction expansion of e

Number Theory 2007-05-23 v3

Abstract

This note presents an especially short and direct variant of Hermite's proof of the simple continued fraction expansion e = [2,1,2,1,1,4,1,1,6,...] and explains some of the motivation behind it.

Keywords

Cite

@article{arxiv.math/0601660,
  title  = {A short proof of the simple continued fraction expansion of e},
  author = {Henry Cohn},
  journal= {arXiv preprint arXiv:math/0601660},
  year   = {2007}
}

Comments

6 pages; only change from published version is that "Riccati" is now spelled correctly