List questions from transcendence-theory

Published on 23 Jan 2017 - 14:11

55

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From transcendental to algebraic

Published on 07 Feb 2017 - 9:57

218

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Special cases of the Rohrlich-Lang conjecture with Gamma function

Published on 20 Feb 2017 - 5:31

213

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Algebraically dependent vs. one element can be expressed as a polynomial of the others

Published on 08 Mar 2017 - 19:15

90

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Constructing a polynomial with rational coefficients which shares at least one root with a polynomial with algebraic coefficients in n variables.

Published on 26 Mar 2017 - 12:53

105

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Transcendental Extension decomposition

Published on 07 Apr 2017 - 4:43

176

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Real number known not to be a period

Published on 25 Mar 2026 - 6:03

18

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Let $L = F(S)$ for $S \subseteq L$. Does there exists a transcendental basis $T \subseteq S$ with $F(S) = F(T)$?

Published on 23 Feb 2026 - 2:43

45

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Transcendence measure for the canonical Liouville number

Published on 03 Mar 2023 - 6:25

14

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What is $\text{trdeg}(F( X_i Y_j \mid 1 \leq i \leq n, 1 \leq j \leq m) / F)$?

Published on 23 Feb 2026 - 2:43

44

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Transcendence of function and change of fields

Published on 22 Mar 2026 - 14:44

56

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House of the inverse

Published on 21 Mar 2026 - 17:13

53

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Transcendence of meromorphic function vs formal power series

Published on 25 Mar 2026 - 17:25

96

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Deduction from Schanuel's conjecture

Published on 28 Jan 2024 - 8:08

545

Views

Does Schanuel's conjecture imply that $\pi^e$ is transcendental?

Published on 16 Feb 2024 - 18:42

List Question

$B$ spans algebraically $E$ over $F$

From transcendental to algebraic

Special cases of the Rohrlich-Lang conjecture with Gamma function

Algebraically dependent vs. one element can be expressed as a polynomial of the others

Constructing a polynomial with rational coefficients which shares at least one root with a polynomial with algebraic coefficients in n variables.

Transcendental Extension decomposition

Real number known not to be a period

Let $L = F(S)$ for $S \subseteq L$. Does there exists a transcendental basis $T \subseteq S$ with $F(S) = F(T)$?

Transcendence measure for the canonical Liouville number

What is $\text{trdeg}(F( X_i Y_j \mid 1 \leq i \leq n, 1 \leq j \leq m) / F)$?

Transcendence of function and change of fields

House of the inverse

Transcendence of meromorphic function vs formal power series

Deduction from Schanuel's conjecture

Does Schanuel's conjecture imply that $\pi^e$ is transcendental?

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