Question

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

score 142 · Answer 1 · 2026-03-26 06:28:36

142

Views

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

Published on 26 Mar 2026 - 6:28

score 178 · Answer 2 · 2026-05-11 00:57:27

178

Views

About Schanuel's conjecture

Published on 11 May 2026 - 0:57

score 422 · Answer 3 · 2026-03-26 09:58:05

422

Views

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

Published on 26 Mar 2026 - 9:58

score 1k · Answer 4 · 2026-04-15 07:01:33

1k

Views

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

Published on 15 Apr 2026 - 7:01

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 73 · Answer 6 · 2026-03-26 06:33:38

73

Views

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

Published on 26 Mar 2026 - 6:33

score 248 · Answer 7 · 2026-04-16 19:05:24

248

Views

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

Published on 16 Apr 2026 - 19:05

score 194 · Answer 8 · 2026-03-26 06:31:47

194

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 26 Mar 2026 - 6:31

score 520 · Answer 9 · 2026-04-12 02:00:44

520

Views

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

Published on 12 Apr 2026 - 2:00

score 14.6k · Answer 10 · 2026-04-09 06:17:58

14.6k

Views

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

Published on 09 Apr 2026 - 6:17

score 113 · Answer 11 · 2026-04-12 00:05:11

113

Views

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

Published on 12 Apr 2026 - 0:05

score 117 · Answer 12 · 2026-04-09 21:48:44

117

Views

Representing complex numbers with nested exponentiation of rationals

Published on 09 Apr 2026 - 21:48

score 664 · Answer 13 · 2026-04-09 07:35:12

664

Views

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

Published on 09 Apr 2026 - 7:35

score 264 · Answer 14 · 2026-05-10 19:00:46

264

Views

Is it transcendental? Also normal?

Published on 10 May 2026 - 19:00

score 383 · Answer 15 · 2026-04-13 05:04:17

383

Views

Existence of an entire function with algebraically independent derivatives

Published on 13 Apr 2026 - 5:04

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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