In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. Naming convention · Modular conjecture

25 июн. 2023 г. · In this note we provide an easy to understand and self-contained proof for the Lindemann-Weierstrass Theorem.

22 мар. 2013 г. · This article provides a proof of the Lindemann-Weierstrass theorem Mathworld Planetmath, using a method similar Planetmath Planetmath to those used by ...

The Lindemann-Weierstrass theorem gives a criterion to recognize transcendental numbers, that is non-algebraic numbers. More precisely, it explains that a set ...

. The Lindemann-Weierstrass theorem is implied by Schanuel's conjecture (Chow 1999).

This is historically the first theorem on the algebraic independence of numbers and it can be proved now in various ways. Below we propose one more way to ...

28 янв. 2023 г. · Theorem B (Lindemann–Weierstrass). — If α1,...,αn are distinct algebraic numbers, then eα1 ,...,eαn are linearly independent over Q.

15 мар. 2022 г. · This is historically the first theorem on the algebraic independence of numbers and it can be proved now in various ways.

(number theory) A result that is useful in establishing the transcendence of numbers, stating that, if α1, ..., αn are algebraic numbers which are linearly ...

Lindemann proved in 1882 that eα is transcendental for algebraic α, and Weierstrass proved in 1885 that if α1,...,αn are algebraic numbers that are linearly ...