Question

Two minor questions about a transcendental number over $\Bbb Q$

score 63 · Answer 1 · 2026-03-14 13:14:22

63

Views

Two minor questions about a transcendental number over $\Bbb Q$

Published on 14 Mar 2026 - 13:14

score 356 · Answer 2 · 2026-03-14 16:25:28

356

Views

Is it possible to express $\pi$ as $a^b$ for $a$ and $b$ non-transcendental numbers?

Published on 14 Mar 2026 - 16:25

score 116 · Answer 3 · 2026-03-17 12:59:10

116

Views

Is it true that evaluating a polynomial with integer coefficients at $e$, uniquely defines it?

Published on 17 Mar 2026 - 12:59

score 186 · Answer 4 · 2026-03-17 22:05:08

186

Views

Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?

Published on 17 Mar 2026 - 22:05

score 141 · Answer 5 · 2026-03-17 19:34:42

141

Views

Is there any intermediate fields between these two fields？

Published on 17 Mar 2026 - 19:34

score 82 · Answer 6 · 2026-03-17 16:19:15

82

Views

Is there any pair of positive integers $ (x,n)$ for which :$e^{{e}^{{e}^{\cdots x}}}=2^{n}$?

Published on 17 Mar 2026 - 16:19

score 89 · Answer 7 · 2026-03-17 08:34:54

89

Views

Why is :$\displaystyle {e}^\sqrt{2}$ is known to be transcedental number but ${\sqrt{2}}^ {e}$ is not known?

Published on 17 Mar 2026 - 8:34

score 124 · Answer 8 · 2026-03-17 12:24:21

124

Views

Irrationality of $\int_{-a}^ax^nn^xd x$

Published on 17 Mar 2026 - 12:24

score 399 · Answer 9 · 2026-03-17 12:38:15

399

Views

Proving that $ 7<\frac{5\phi e}{\pi}< 7.0000689$ where $\phi$ is the Golden Ratio

Published on 17 Mar 2026 - 12:38

score 131 · Answer 10 · 2026-03-17 18:05:44

131

Views

Transcendence of algebraic numbers with Transcendental power

Published on 17 Mar 2026 - 18:05

score 216 · Answer 11 · 2026-03-17 10:05:43

216

Views

Is $\mathrm{arccos}$ of an irrational algebraic number necessarily transcendental?

Published on 17 Mar 2026 - 10:05

score 137 · Answer 12 · 2026-03-24 00:58:18

137

Views

Can two different natural numbers raised to the same irrational power be integers?

Published on 24 Mar 2026 - 0:58

score 132 · Answer 13 · 2026-03-20 11:00:47

132

Views

Prove or Disprove: $e = m\pi + n$ for some integers $m$ and $n$.

Published on 20 Mar 2026 - 11:00

score 101 · Answer 14 · 2026-03-21 15:16:23

101

Views

Why the numerical values of $\int\limits_{-a}^{a} e^{-x^{e}}\ \text{d}x $ are not real?

Published on 21 Mar 2026 - 15:16

score 80 · Answer 15 · 2026-03-22 07:19:35

80

Views

Does $\mathbb{Q}[x_1,x_2\ldots]$ embed inside of $\mathbb{R}$?

Published on 22 Mar 2026 - 7:19

List Question

Two minor questions about a transcendental number over $\Bbb Q$

Is it possible to express $\pi$ as $a^b$ for $a$ and $b$ non-transcendental numbers?

Is it true that evaluating a polynomial with integer coefficients at $e$, uniquely defines it?

Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?

Is there any intermediate fields between these two fields？

Is there any pair of positive integers $ (x,n)$ for which :$e^{{e}^{{e}^{\cdots x}}}=2^{n}$?

Why is :$\displaystyle {e}^\sqrt{2}$ is known to be transcedental number but ${\sqrt{2}}^ {e}$ is not known?

Irrationality of $\int_{-a}^ax^nn^xd x$

Proving that $ 7<\frac{5\phi e}{\pi}< 7.0000689$ where $\phi$ is the Golden Ratio

Transcendence of algebraic numbers with Transcendental power

Is $\mathrm{arccos}$ of an irrational algebraic number necessarily transcendental?

Can two different natural numbers raised to the same irrational power be integers?

Prove or Disprove: $e = m\pi + n$ for some integers $m$ and $n$.

Why the numerical values of $\int\limits_{-a}^{a} e^{-x^{e}}\ \text{d}x $ are not real?

Does $\mathbb{Q}[x_1,x_2\ldots]$ embed inside of $\mathbb{R}$?

Trending Questions

Popular # Hahtags

Popular Questions