List questions from transcendental-numbers

Published on 30 Aug 2017 - 11:56

639

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How to prove $\mathbb{Q}(\pi)$ and $\mathbb{Q}(e)$ are not the same field?

Published on 01 Sep 2017 - 19:52

88

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Can every complex number be expressed as a zero of a power series with rational coefficients?

Published on 14 Sep 2017 - 22:30

135

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Both variables algebraic/ both transcendental?

Published on 08 Oct 2017 - 2:05

1.4k

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Definition of e, and proof of existence.

Published on 08 Oct 2017 - 17:07

130

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Integer sequence generated by using transcendental numbers

Published on 09 Oct 2017 - 9:23

202

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Prove easy example of $p$-adic Liouville number: $\sum_{i\geq0}p^{i!}$

Published on 25 Oct 2017 - 7:01

2.3k

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Proving that: $9.9998\lt \frac{\pi^9}{e^8}\lt 10$?

Published on 25 Oct 2017 - 15:57

261

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On a base 10 Infinite Series

Published on 10 Nov 2017 - 12:33

391

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How to isolate x from $x=\cos x°$?

Published on 01 Dec 2017 - 8:36

1k

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Can we find e in pi?

Published on 27 Mar 2026 - 19:26

219

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Quickly show that $\Bigg|(-1/2)^{(-1/2)^{(-1/2)}}\Bigg|=e^{\pi\sqrt{2}}$

Published on 27 Mar 2026 - 6:17

94

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Are the real and imaginary parts of the complex number $(-1/2)^{(-1/2)^{(-1/2)}}$ irrational? Transcendental?

Published on 15 Dec 2017 - 16:59

117

Views

Does getting $\pi$ as the result of an expression mean the expression must involve an irrational (transcendental?) number?

Published on 16 Dec 2017 - 18:51

179

Views

Algebraic numbers on both sides of trigonometric functions

Published on 23 Feb 2026 - 12:04

List Question

Prove that $ i^i$ is transcendental.

How to prove $\mathbb{Q}(\pi)$ and $\mathbb{Q}(e)$ are not the same field?

Can every complex number be expressed as a zero of a power series with rational coefficients?

Both variables algebraic/ both transcendental?

Definition of e, and proof of existence.

Integer sequence generated by using transcendental numbers

Prove easy example of $p$-adic Liouville number: $\sum_{i\geq0}p^{i!}$

Proving that: $9.9998\lt \frac{\pi^9}{e^8}\lt 10$?

On a base 10 Infinite Series

How to isolate x from $x=\cos x°$?

Can we find e in pi?

Quickly show that $\Bigg|(-1/2)^{(-1/2)^{(-1/2)}}\Bigg|=e^{\pi\sqrt{2}}$

Are the real and imaginary parts of the complex number $(-1/2)^{(-1/2)^{(-1/2)}}$ irrational? Transcendental?

Does getting $\pi$ as the result of an expression mean the expression must involve an irrational (transcendental?) number?

Algebraic numbers on both sides of trigonometric functions

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