Question

Is the set $\{X\sqrt{Y}, \sqrt{X}Y\}$ algebraically independent over $\mathbb{C}$?

score 141 · Answer 1 · 2017-07-26 20:05:06

141

Views

Is the set $\{X\sqrt{Y}, \sqrt{X}Y\}$ algebraically independent over $\mathbb{C}$?

Published on 26 Jul 2017 - 20:05

score 176 · Answer 2 · 2017-08-24 09:45:26

176

Views

About Schanuel's conjecture

Published on 24 Aug 2017 - 9:45

score 421 · Answer 3 · 2017-09-06 11:44:09

421

Views

How to compute an "effectively computable constant" in a formula of approximation of powers of $2$ and $3$

Published on 06 Sep 2017 - 11:44

score 1k · Answer 4 · 2017-09-26 23:05:02

1k

Views

How to handle the tensor product of fields of rational functions over $\mathbb{C}$?

Published on 26 Sep 2017 - 23:05

score 76 · Answer 5 · 2026-02-23 07:43:23

76

Views

How to prove that a logarithmic integral is transcendental?

Published on 23 Feb 2026 - 7:43

score 72 · Answer 6 · 2017-10-22 11:31:22

72

Views

What algebraic function will result in transcendental function by indefinite integral?

Published on 22 Oct 2017 - 11:31

score 245 · Answer 7 · 2017-12-20 12:09:16

245

Views

Fields the closure of which is $\mathbb{C}$

Published on 20 Dec 2017 - 12:09

score 193 · Answer 8 · 2018-01-08 20:57:03

193

Views

Elementary result: If $m>n$, then any $f_1,...,f_m$ (non-zero polynomials) in $K[X_1,...,X_n]$ are algebraically dependent over $K$

Published on 08 Jan 2018 - 20:57

score 517 · Answer 9 · 2010-08-30 16:00:36

517

Views

Is there a proof that there is no general method to solve transcendental equations?

Published on 30 Aug 2010 - 16:00

score 14.6k · Answer 10 · 2010-12-05 02:47:36

14.6k

Views

How to show $e^{e^{e^{79}}}$ is not an integer

Published on 05 Dec 2010 - 2:47

score 112 · Answer 11 · 2026-03-21 19:59:26

112

Views

Do the first differences of a b-normal number form a b-normal number? [Now with application!]

Published on 21 Mar 2026 - 19:59

score 114 · Answer 12 · 2011-12-04 12:33:07

114

Views

Representing complex numbers with nested exponentiation of rationals

Published on 04 Dec 2011 - 12:33

score 662 · Answer 13 · 2011-12-13 19:23:55

662

Views

Irrationality measure of the Chaitin's constant $\Omega$

Published on 13 Dec 2011 - 19:23

score 260 · Answer 14 · 2012-04-02 21:37:27

260

Views

Is it transcendental? Also normal?

Published on 02 Apr 2012 - 21:37

score 380 · Answer 15 · 2012-04-27 02:25:48

380

Views

Existence of an entire function with algebraically independent derivatives

Published on 27 Apr 2012 - 2:25

List Question

Is the set $\{X\sqrt{Y}, \sqrt{X}Y\}$ algebraically independent over $\mathbb{C}$?

About Schanuel's conjecture

How to compute an "effectively computable constant" in a formula of approximation of powers of $2$ and $3$

How to handle the tensor product of fields of rational functions over $\mathbb{C}$?

How to prove that a logarithmic integral is transcendental?

What algebraic function will result in transcendental function by indefinite integral?

Fields the closure of which is $\mathbb{C}$

Elementary result: If $m>n$, then any $f_1,...,f_m$ (non-zero polynomials) in $K[X_1,...,X_n]$ are algebraically dependent over $K$

Is there a proof that there is no general method to solve transcendental equations?

How to show $e^{e^{e^{79}}}$ is not an integer

Do the first differences of a b-normal number form a b-normal number? [Now with application!]

Representing complex numbers with nested exponentiation of rationals

Irrationality measure of the Chaitin's constant $\Omega$

Is it transcendental? Also normal?

Existence of an entire function with algebraically independent derivatives

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