List questions from transcendence-theory

Published on 17 Apr 2026 - 15:01

128

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What would be some implications of Schanuel's conjecture being proven wrong?

Published on 25 Apr 2026 - 9:16

765

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Showing that Liouville's numbers are transcendental (Liouville's theorem)

Published on 25 Mar 2026 - 19:06

52

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Borel's result on transcendence measure

Published on 27 Mar 2026 - 16:44

531

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A notion of transcendence degree for fields of formal power series?

Published on 25 Mar 2026 - 20:36

233

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Are there classifications transcendental numbers that are similar to algebraic numbers for differential equations?

Published on 25 Mar 2026 - 22:06

2.7k

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square-root of a transcendental number

Published on 27 Mar 2026 - 6:41

283

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Exceptional Set and Schanuel's conjecture

Published on 27 Mar 2026 - 15:31

384

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Integers (strictly) between 0 and 1 form the basis of transcendental number theory?

Published on 25 Mar 2026 - 19:10

348

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Integer solutions of $\log a \log b = \log c \log d$

Published on 25 Mar 2026 - 17:36

778

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Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$

Published on 25 Mar 2026 - 9:28

591

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Transcendence Degree of the Function Field of Meromorphic Functions over $\mathbb{C}$

Published on 25 Mar 2026 - 17:39

235

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Existence of $x$ such that $2^x =a,3^x=b,5^x=c$ for some integers $a,b,c$

Published on 25 Mar 2026 - 19:10

39

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Clarification on the solution set of two surfaces being a hyperbola

Published on 25 Mar 2026 - 15:46

85

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$F$-embedding is an automorphism if and only if ${\rm tr. deg}(E/F)<\infty$.

Published on 25 Mar 2026 - 17:37

List Question

What does algebraic independence mean?

What would be some implications of Schanuel's conjecture being proven wrong?

Showing that Liouville's numbers are transcendental (Liouville's theorem)

Borel's result on transcendence measure

A notion of transcendence degree for fields of formal power series?

Are there classifications transcendental numbers that are similar to algebraic numbers for differential equations?

square-root of a transcendental number

Exceptional Set and Schanuel's conjecture

Integers (strictly) between 0 and 1 form the basis of transcendental number theory?

Integer solutions of $\log a \log b = \log c \log d$

Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$

Transcendence Degree of the Function Field of Meromorphic Functions over $\mathbb{C}$

Existence of $x$ such that $2^x =a,3^x=b,5^x=c$ for some integers $a,b,c$

Clarification on the solution set of two surfaces being a hyperbola

$F$-embedding is an automorphism if and only if ${\rm tr. deg}(E/F)<\infty$.

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