PreprintarXiv licencearXiv
An introduction to the strategy of transcendence proofs
Abstract
The proof by Ch. Hermite of the transcendence of the number e 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 only outline the main ideas, without providing technical details, for which we refer to the bibliography.
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BibTeX
@misc{waldschmidt2026introduction,
title = {{An introduction to the strategy of transcendence proofs}},
author = {Michel Waldschmidt},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39810},
eprint = {2610.39810},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39810},
}
RIS
TY - UNPB
TI - An introduction to the strategy of transcendence proofs
AU - Michel Waldschmidt
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39810
UR - https://arxiv.org/abs/2610.39810
AB - The proof by Ch. Hermite of the transcendence of the number e 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 only outline the main ideas, without providing technical details, for which we refer to the bibliography.
ER -