Question

Difficulty understanding a proof of "Baker's lemma" on bounding complex functions, involved in the proof of Baker's theorem?

score 40 · Answer 1 · 2022-09-03 09:42:21

40

Views

Difficulty understanding a proof of "Baker's lemma" on bounding complex functions, involved in the proof of Baker's theorem?

Published on 03 Sep 2022 - 9:42

score 235 · Answer 2 · 2022-09-05 03:48:25

235

Views

Can a pair of complex numbers be "completely" algebraically independent?

Published on 05 Sep 2022 - 3:48

score 66 · Answer 3 · 2026-03-22 19:54:03

66

Views

Do smooth "almost-algebraic" transcendental curves exist?

Published on 22 Mar 2026 - 19:54

score 153 · Answer 4 · 2026-02-23 06:24:22

153

Views

Schanuel's Conjecture $\implies $ no surprises on the integers. $2^t+3^t=1 \implies t\notin\overline{\mathbb{Q}}$

Published on 23 Feb 2026 - 6:24

score 82 · Answer 5 · 2022-10-01 03:06:37

82

Views

Fractional Part of Algebraic Number

Published on 01 Oct 2022 - 3:06

score 65 · Answer 6 · 2022-10-07 01:52:44

65

Views

About the algebraic character of the solution of $\cos x=x$

Published on 07 Oct 2022 - 1:52

score 54 · Answer 7 · 2026-03-27 07:20:07

54

Views

A constant written in terms of non-elementary functions

Published on 27 Mar 2026 - 7:20

score 48 · Answer 8 · 2022-10-17 11:59:43

48

Views

At least one of these numbers are irrational: $a$ or $\ln a$.

Published on 17 Oct 2022 - 11:59

score 120 · Answer 9 · 2026-03-27 04:24:14

120

Views

Solution to transcendental equation

Published on 27 Mar 2026 - 4:24

score 493 · Answer 10 · 2026-03-27 04:17:41

493

Views

What is the reason that equations such as $\tan x = 2x$ can only be solved with the help of algorithms?

Published on 27 Mar 2026 - 4:17

score 65 · Answer 11 · 2022-10-30 11:15:17

65

Views

Classification of real numbers $\ x > 1\ $ such that $\ \{\ \{x^n\}: n\in\mathbb{N}\}\ $ is dense in $[0,1].$

Published on 30 Oct 2022 - 11:15

score 788 · Answer 12 · 2022-11-02 19:06:02

788

Views

Is my claim that this number is irrational correct?

Published on 02 Nov 2022 - 19:06

score 262 · Answer 13 · 2026-03-27 04:17:40

262

Views

Is the number satisfying $\eta=\sin(\cos(\eta))$ transcendental?

Published on 27 Mar 2026 - 4:17

score 204 · Answer 14 · 2022-11-12 21:31:51

204

Views

Is $\sum_{k=1}^\infty \frac{1}{p_{p_k}}$, where $p_k$ is the $k$-th prime, irrational? transcendental?

Published on 12 Nov 2022 - 21:31

score 193 · Answer 15 · 2022-11-17 16:32:42

193

Views

Can we find exact value of $x$ satisfying $x^{x^x}=\sqrt{2}^{\sqrt{2}}$

Published on 17 Nov 2022 - 16:32

List Question

Difficulty understanding a proof of "Baker's lemma" on bounding complex functions, involved in the proof of Baker's theorem?

Can a pair of complex numbers be "completely" algebraically independent?

Do smooth "almost-algebraic" transcendental curves exist?

Schanuel's Conjecture $\implies $ no surprises on the integers. $2^t+3^t=1 \implies t\notin\overline{\mathbb{Q}}$

Fractional Part of Algebraic Number

About the algebraic character of the solution of $\cos x=x$

A constant written in terms of non-elementary functions

At least one of these numbers are irrational: $a$ or $\ln a$.

Solution to transcendental equation

What is the reason that equations such as $\tan x = 2x$ can only be solved with the help of algorithms?

Classification of real numbers $\ x > 1\ $ such that $\ \{\ \{x^n\}: n\in\mathbb{N}\}\ $ is dense in $[0,1].$

Is my claim that this number is irrational correct?

Is the number satisfying $\eta=\sin(\cos(\eta))$ transcendental?

Is $\sum_{k=1}^\infty \frac{1}{p_{p_k}}$, where $p_k$ is the $k$-th prime, irrational? transcendental?

Can we find exact value of $x$ satisfying $x^{x^x}=\sqrt{2}^{\sqrt{2}}$

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