The Transcendence of e


Title: The Transcendence of e
Author: Manuel Eberl
Submission date: 2017-01-12

This work contains a proof that Euler's number e is transcendental. The proof follows the standard approach of assuming that e is algebraic and then using a specific integer polynomial to derive two inconsistent bounds, leading to a contradiction.

This kind of approach can be found in many different sources; this formalisation mostly follows a PlanetMath article by Roger Lipsett.

  author  = {Manuel Eberl},
  title   = {The Transcendence of e},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2017,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Used by: Pi_Transcendental, Zeta_3_Irrational