Volume 4, Issue 14
Special volume AJAX in honor of René Schoof
Abstract:
The proof by Hermite of the transcendence of the number in 1873 is the model on which most transcendence proofs for constants of analysis are based. The Schneider–Lang theorem gives an opportunity to understand the strategy behind the proof. We simply outline the main ideas, without providing technical details, for which we refer to the bibliography. This short paper does not contain any full proof.
Citation:
Michel Waldschmidt. An introduction to the strategy of transcendence proofs. Polynesian Journal of Mathematics, Volume 4, Issue 14, Pages 1–13. (Sept. 2026) DOI: 10.69763/polyjmath.4.14
Milestones:
Received 7 Mar 2026
Revised 9 May 2026
Accepted 17 May 2026
Published 28 Sep 2026
Communicated by Samuele Anni
The above content is published under the terms of the Creative Commons Attribution 4.0 International license.