List questions from transcendence-theory

Published on 23 Feb 2026 - 5:37

23

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Images of a vector under the Galois differential group span the solution set

Published on 23 Feb 2026 - 5:43

290

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Is there a general rule for proving that an equation has no analyticial solution

Published on 05 Feb 2015 - 0:04

3.3k

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Is $ 0.112123123412345123456\dots $ algebraic or transcendental?

Published on 16 Feb 2015 - 7:47

124

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When does the following construction generate a transcendental number?

Published on 13 Mar 2015 - 11:49

162

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Prove that $E_0$ is transcendental

Published on 16 Mar 2015 - 0:33

1.3k

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Are logarithms of prime numbers algebraically independent?

Published on 27 Jul 2015 - 17:03

46

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Continuity of Function involving logarithm function

Published on 26 Aug 2015 - 5:06

70

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Textbooks on transcendence theory

Published on 03 Nov 2015 - 23:52

456

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Is this number a Liouville number?

Published on 23 Mar 2026 - 10:08

945

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For what values of $x$ is $\cos x$ transcendental?

Published on 13 Dec 2015 - 7:12

61

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$V\subset \mathbb{P}^n(k)$ is irreducible, prove that $\dim(V)$ is the transcendence degree of $k(V)$ over $k$.

Published on 06 Jan 2016 - 18:56

2.3k

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Product of two transcendental numbers is transcendental

Published on 10 Feb 2016 - 6:31

258

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Number of generators of ideal if quotient field has certain transcendence degree

Published on 18 Feb 2016 - 19:19

163

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$\mathrm{Aut}(\mathbb{Q}(\pi)/\mathbb{Q})=$?

Published on 27 Feb 2026 - 9:00

List Question

Surjective maps between algebraic groups induce surjective maps between connected components

Images of a vector under the Galois differential group span the solution set

Is there a general rule for proving that an equation has no analyticial solution

Is $ 0.112123123412345123456\dots $ algebraic or transcendental?

When does the following construction generate a transcendental number?

Prove that $E_0$ is transcendental

Are logarithms of prime numbers algebraically independent?

Continuity of Function involving logarithm function

Textbooks on transcendence theory

Is this number a Liouville number?

For what values of $x$ is $\cos x$ transcendental?

$V\subset \mathbb{P}^n(k)$ is irreducible, prove that $\dim(V)$ is the transcendence degree of $k(V)$ over $k$.

Product of two transcendental numbers is transcendental

Number of generators of ideal if quotient field has certain transcendence degree

$\mathrm{Aut}(\mathbb{Q}(\pi)/\mathbb{Q})=$?

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