Work

An introduction to the strategy of transcendence proofs

Year: 2026

Type: article

Abstract: The proof by 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 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.

Source: Polynesian Journal of Mathematics

DOI: 10.69763/polyjmath.4.14

Author: Michel Waldschmidt

Institutions: Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, University of Belgrade

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7214613306

FWCI:

Cites: 11

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Related to: 10