List questions from transcendental-numbers

Published on 04 May 2020 - 8:05

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Conversion of definite integral to continued fraction:

Published on 04 May 2020 - 10:32

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Numbers that are solutions to polynomials with coefficients that are rational numbers. Do $e$ and $\pi$ belong to this family?

Published on 06 May 2020 - 1:46

56

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I'm looking for material to understand a bit of transcendence of numbers and study whether they are rational or not

Published on 17 May 2020 - 2:46

644

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Elementary proof that $\pi$ is transcendental

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Way of expressing transcendental number in terms of known mathematical constants?

Published on 27 May 2020 - 9:44

338

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Is $e-1/e$ rational?

Published on 22 Mar 2026 - 15:15

43

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Translate the continuous fraction $[2;2^{1!}, 2^{2!}, 2^{3!}, \cdots]$ to a sum in order to prove that it's transcendental

Published on 23 Feb 2026 - 6:04

74

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Infinite product of transcendental numbers approaches 1

Published on 03 Jul 2020 - 6:05

105

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Which irrationals become rational for some positive integer power?

Published on 21 Jul 2020 - 3:54

64

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Book that helps recognizing underlying mathematical expression of numerical results

Published on 25 Mar 2026 - 7:43

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Example of a complex transcendental number?

Published on 21 Mar 2026 - 21:05

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Complex transcendentals not known in component form?

Published on 22 Mar 2026 - 1:54

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$e+\pi$ and $e\cdot\pi$ Transcendental number or what?

Published on 22 Mar 2026 - 15:54

246

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Can a change of basis modify irrationality/transcendence?

Published on 22 Mar 2026 - 1:51

List Question

Can $\pi$ be defined using Dedekind cuts?

Conversion of definite integral to continued fraction:

Numbers that are solutions to polynomials with coefficients that are rational numbers. Do $e$ and $\pi$ belong to this family?

I'm looking for material to understand a bit of transcendence of numbers and study whether they are rational or not

Elementary proof that $\pi$ is transcendental

Way of expressing transcendental number in terms of known mathematical constants?

Is $e-1/e$ rational?

Translate the continuous fraction $[2;2^{1!}, 2^{2!}, 2^{3!}, \cdots]$ to a sum in order to prove that it's transcendental

Infinite product of transcendental numbers approaches 1

Which irrationals become rational for some positive integer power?

Book that helps recognizing underlying mathematical expression of numerical results

Example of a complex transcendental number?

Complex transcendentals not known in component form?

$e+\pi$ and $e\cdot\pi$ Transcendental number or what?

Can a change of basis modify irrationality/transcendence?

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