List questions from transcendental-numbers

Published on 25 Mar 2017 - 23:46

139

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Are all hyper-algebraic numbers algebraic?

Published on 29 Mar 2017 - 13:58

36

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Clarifying a definition and theorem by Adamczewski and Bugeaud?

Published on 30 Mar 2017 - 20:29

144

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$e^e$ - Are there natural situations where this constant appears?

Published on 02 Apr 2017 - 4:17

41

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Seeking a comprehensive discussion about multivalued exponentiation of complex numbers

Published on 03 Apr 2017 - 14:02

425

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Does Champernowne's constant converge to the digits of $\pi$?

Published on 07 Apr 2017 - 17:07

296

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What's an example of an element in $\mathbb R \setminus \mathbb Q[\pi]$?

Published on 31 Jan 2023 - 12:18

176

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Real number known not to be a period

Published on 25 Mar 2026 - 6:03

105

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Questionable proof of Liouville's Theorem (number theory)

Published on 07 Feb 2023 - 16:59

58

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elements of $E\setminus\mathbb{Q}$ are transcendental over $\mathbb{Q}$

Published on 18 Feb 2023 - 18:15

154

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On the irrationality of $\zeta(\frac{3}{2})$

Published on 21 Feb 2023 - 17:10

152

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Power series for functions that have $e$ as a root

Published on 21 Feb 2023 - 22:58

62

Views

infinitely many algebraically independent numbers without cardinality argument

Published on 22 Apr 2023 - 2:08

72

Views

Show that if $z\in \mathbb{C}$ is a non-rational solution to $\sqrt{3}(1+z)=\tan\left(z\pi/2\right)$, then $z$ is transcendental.

Published on 25 Apr 2023 - 22:36

61

Views

I am confused on the substitution method for the following integral. I've put it in symbolab and wolframalpha and idk how they get -1/2*e^(2/x^2)

Published on 02 May 2023 - 18:46

List Question

Why the element $t \in F(t)$ is transcendental over $F$?

Are all hyper-algebraic numbers algebraic?

Clarifying a definition and theorem by Adamczewski and Bugeaud?

$e^e$ - Are there natural situations where this constant appears?

Seeking a comprehensive discussion about multivalued exponentiation of complex numbers

Does Champernowne's constant converge to the digits of $\pi$?

What's an example of an element in $\mathbb R \setminus \mathbb Q[\pi]$?

Real number known not to be a period

Questionable proof of Liouville's Theorem (number theory)

elements of $E\setminus\mathbb{Q}$ are transcendental over $\mathbb{Q}$

On the irrationality of $\zeta(\frac{3}{2})$

Power series for functions that have $e$ as a root

infinitely many algebraically independent numbers without cardinality argument

Show that if $z\in \mathbb{C}$ is a non-rational solution to $\sqrt{3}(1+z)=\tan\left(z\pi/2\right)$, then $z$ is transcendental.

I am confused on the substitution method for the following integral. I've put it in symbolab and wolframalpha and idk how they get -1/2*e^(2/x^2)

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