List questions from transcendental-numbers

145

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What is the close form of the sum of reciprocals of $k!$, $k!!$, and so on? Moreover, is it transcendental?

Published on 19 Sep 2016 - 6:46

4.2k

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Proof that a trigonometric function of a rational angle must be non-transcendental

Published on 19 Sep 2016 - 17:48

395

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Consequences of transcendental numbers in geometry

Published on 20 Sep 2016 - 14:38

203

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What would be some consequences if $\pi + e$ was proven to be algebraic vs transcendental over $\Bbb Q$?

Published on 23 Sep 2016 - 19:22

242

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Excercise in Transcendental Number Theory

Published on 25 Mar 2026 - 19:16

337

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Are those two numbers transcendental?

Published on 26 Mar 2026 - 6:25

176

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A continued fraction for $\sqrt{2}\Bigg({e^\sqrt{2}-1 \above 1.5pt e^\sqrt{2}+1 }\Bigg)$

Published on 26 Mar 2026 - 11:04

1.2k

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Why is $e$ not a Liouville number?

Published on 23 Feb 2026 - 6:00

137

Views

Is there a useful algorithm for finding irrationality measures?

Published on 23 Feb 2026 - 5:58

134

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Only $\pi$ has this property?

Published on 01 Oct 2016 - 18:56

126

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Is $Ei(2)-Ei(1)$ transcendental?

Published on 02 Oct 2016 - 16:33

495

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Does there exist $\alpha \in \mathbb{R}$ and a field $F \subset \mathbb{R} $ such that $F(\alpha)=\mathbb{R}$?

Published on 04 Oct 2016 - 20:11

219

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Given two transcendental numbers, is their difference algebraic?

Published on 12 Oct 2016 - 14:37

87

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Transcendental elements in K with $\text{char}(K)=p>0$

Published on 25 Mar 2026 - 19:16

114

Views

A proof that $e$ or $\pi$ is irrational via algebraic integers

Published on 24 Oct 2016 - 11:48

List Question

What is the close form of the sum of reciprocals of $k!$, $k!!$, and so on? Moreover, is it transcendental?

Proof that a trigonometric function of a rational angle must be non-transcendental

Consequences of transcendental numbers in geometry

What would be some consequences if $\pi + e$ was proven to be algebraic vs transcendental over $\Bbb Q$?

Excercise in Transcendental Number Theory

Are those two numbers transcendental?

A continued fraction for $\sqrt{2}\Bigg({e^\sqrt{2}-1 \above 1.5pt e^\sqrt{2}+1 }\Bigg)$

Why is $e$ not a Liouville number?

Is there a useful algorithm for finding irrationality measures?

Only $\pi$ has this property?

Is $Ei(2)-Ei(1)$ transcendental?

Does there exist $\alpha \in \mathbb{R}$ and a field $F \subset \mathbb{R} $ such that $F(\alpha)=\mathbb{R}$?

Given two transcendental numbers, is their difference algebraic?

Transcendental elements in K with $\text{char}(K)=p>0$

A proof that $e$ or $\pi$ is irrational via algebraic integers

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