List questions from transcendence-theory

Published on 15 Mar 2013 - 19:27

550

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Understanding the Fundamental Theorem of Symmetric Polynomials within the context of proving $\pi$ transcendental

Published on 20 Mar 2013 - 3:51

96

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What makes Hilbert's 7th problem important/relevant?

Published on 05 Oct 2020 - 23:35

51

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Explanation of proof of the transendence of $\alpha_1^{\beta_1} \dotsm \alpha_n^{\beta_n}$

Published on 29 Dec 2020 - 11:19

144

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Explanation of proof of transcendence of $e$

Published on 23 Feb 2026 - 17:26

192

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Transcendence of $\pi+\log\alpha$ and $e^{\alpha\pi+\beta}$

Published on 23 Feb 2026 - 17:25

201

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Is the sum of the inverses of the factorials of Fibonacci numbers transcendental?

Published on 10 Jan 2021 - 12:07

74

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How can I prove this question?

Published on 25 Feb 2021 - 17:23

58

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Non-zero coefficient in a transcendence proof

Published on 03 Mar 2021 - 7:24

67

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Field Extensions with Common Transcendental Numbers

Published on 13 Mar 2021 - 16:01

196

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Reference Request: Gelfond Schneider Theorem

Published on 23 Feb 2026 - 11:59

50

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How can I prove that I can find $N$ real elements that is algebraically independent over $\mathbb{Q}$ for any N$?

Published on 25 Mar 2021 - 10:54

100

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If $e^{ei\pi}$ turns out to be transcendent, can it be proved that $e^e$ is also?

Published on 26 Mar 2021 - 14:05

87

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How to prove that any rational linear combination of u and v will also be transcendent?

Published on 30 Mar 2021 - 2:30

48

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$t+1$ transcendent over $K$ if $t$ is transcendent

Published on 31 Mar 2021 - 10:04

List Question

Operations with cardinals in transcendence base proof

Understanding the Fundamental Theorem of Symmetric Polynomials within the context of proving $\pi$ transcendental

What makes Hilbert's 7th problem important/relevant?

Explanation of proof of the transendence of $\alpha_1^{\beta_1} \dotsm \alpha_n^{\beta_n}$

Explanation of proof of transcendence of $e$

Transcendence of $\pi+\log\alpha$ and $e^{\alpha\pi+\beta}$

Is the sum of the inverses of the factorials of Fibonacci numbers transcendental?

How can I prove this question?

Non-zero coefficient in a transcendence proof

Field Extensions with Common Transcendental Numbers

Reference Request: Gelfond Schneider Theorem

How can I prove that I can find $N$ real elements that is algebraically independent over $\mathbb{Q}$ for any N$?

If $e^{ei\pi}$ turns out to be transcendent, can it be proved that $e^e$ is also?

How to prove that any rational linear combination of u and v will also be transcendent?

$t+1$ transcendent over $K$ if $t$ is transcendent

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