In mathematics, specifically transcendental number theory, Schanuel's conjecture is a conjecture about the transcendence degree of certain field extensions ...

Schanuel's conjecture implies the Lindemann-Weierstrass theorem and Gelfond's theorem. If the conjecture is true, then it follows that e and pi are ...

29 июл. 2024 г. · Most known results in transcendental number theory follow from Schanuel's conjecture, and it would imply many more results not yet known. As one ...

9 авг. 2018 г. · This is an introduction to Schanuel's conjecture, explaining its significance and hinting at related topics. There are some exercises, and theorems are stated, ...

In recent years, Schanuel's Conjecture has played an important role in Transcen- dental Number Theory (e.g. Waldschmidt [31]) as well as decidability ...

We showed that if a certain famous conjecture from transcendental number theory, namely Schanuel's conjecture, is true then T exp is, indeed, a decidable ...

16 февр. 2024 г. · Yes, Schanuel's conjecture implies that πe is transcendental. First, note that it implies that e and π are algebraically independent: 1 and ... About Schanuel's conjecture - Mathematics Stack Exchange Schanuel's Conjecture $\implies $ no surprises on the integers ... Consequences of a proof of Schanuel's conjecture? Real world applications of Schanuel's Conjecture Другие результаты с сайта math.stackexchange.com

11 июл. 2024 г. · We give three consequences of Schanuel's Conjecture. The first is that P(e)Q(e) and P(π)Q(π) are transcendental, for any non-constant ...

26 мар. 2021 г. · In this paper, we prove three results about the arithmetic nature of powers of algebraic and transcendental numbers by assuming that Schanuel's ...