The Transcendence of π

 

Title: The Transcendence of π
Author: Manuel Eberl
Submission date: 2018-09-28
Abstract:

This entry shows the transcendence of π based on the classic proof using the fundamental theorem of symmetric polynomials first given by von Lindemann in 1882, but the formalisation mostly follows the version by Niven. The proof reuses much of the machinery developed in the AFP entry on the transcendence of e.

BibTeX:
@article{Pi_Transcendental-AFP,
  author  = {Manuel Eberl},
  title   = {The Transcendence of π},
  journal = {Archive of Formal Proofs},
  month   = sep,
  year    = 2018,
  note    = {\url{https://isa-afp.org/entries/Pi_Transcendental.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: E_Transcendental, Symmetric_Polynomials
Used by: Hermite_Lindemann