Question

Can $e^{k \cdot \pi}$ be algebraic for any real algebraic number $k \neq 0$?

score 72 · Answer 1 · 2016-10-26 04:17:03

72

Views

Can $e^{k \cdot \pi}$ be algebraic for any real algebraic number $k \neq 0$?

Published on 26 Oct 2016 - 4:17

score 148 · Answer 2 · 2016-10-31 12:04:20

148

Views

Three other transcendental(?) numbers

Published on 31 Oct 2016 - 12:04

score 182 · Answer 3 · 2016-11-01 16:53:06

182

Views

Fast convergence implies higher likelihood of irrationality/transcendentalism?

Published on 01 Nov 2016 - 16:53

score 642 · Answer 4 · 2026-03-23 06:35:07

642

Views

On the behavior of transcendental functions

Published on 23 Mar 2026 - 6:35

score 2.5k · Answer 5 · 2016-11-06 13:43:43

2.5k

Views

Every Real number is expressible in terms of differences of two transcendentals

Published on 06 Nov 2016 - 13:43

score 118 · Answer 6 · 2016-11-08 07:50:08

118

Views

Real numbers of the form: "difference of two linearly independent transcendental numbers"

Published on 08 Nov 2016 - 7:50

score 39 · Answer 7 · 2016-11-08 09:31:04

39

Views

Next step of the two recent questions on differences of transcendental numbers

Published on 08 Nov 2016 - 9:31

score 77 · Answer 8 · 2016-11-12 00:33:06

77

Views

Non-transcendental number with powers being irrational

Published on 12 Nov 2016 - 0:33

score 384 · Answer 9 · 2016-11-20 17:23:10

384

Views

Can Every Irrational, but Non-Transcendental be Expressed as a Repeating Continued Fraction?

Published on 20 Nov 2016 - 17:23

score 273 · Answer 10 · 2026-03-25 19:10:35

273

Views

Is $e^{n\pi}$ transcendental?

Published on 25 Mar 2026 - 19:10

score 89 · Answer 11 · 2016-11-26 11:58:08

89

Views

How do you prove $\pi^5$ is transcendental?

Published on 26 Nov 2016 - 11:58

score 693 · Answer 12 · 2016-12-01 02:48:36

693

Views

Automorphisms of transcendental extensions.

Published on 01 Dec 2016 - 2:48

score 2.2k · Answer 13 · 2016-12-05 01:00:19

2.2k

Views

Between any two real numbers, there is an algebraic number and also a transcendental number

Published on 05 Dec 2016 - 1:00

score 74 · Answer 14 · 2026-03-22 16:44:21

74

Views

What functions do we need besides polynomials to describe any real as the root of some equation?

Published on 22 Mar 2026 - 16:44

score 624 · Answer 15 · 2016-12-15 20:21:08

624

Views

Consequences of a proof of Schanuel's conjecture?

Published on 15 Dec 2016 - 20:21

List Question

Can $e^{k \cdot \pi}$ be algebraic for any real algebraic number $k \neq 0$?

Three other transcendental(?) numbers

Fast convergence implies higher likelihood of irrationality/transcendentalism?

On the behavior of transcendental functions

Every Real number is expressible in terms of differences of two transcendentals

Real numbers of the form: "difference of two linearly independent transcendental numbers"

Next step of the two recent questions on differences of transcendental numbers

Non-transcendental number with powers being irrational

Can Every Irrational, but Non-Transcendental be Expressed as a Repeating Continued Fraction?

Is $e^{n\pi}$ transcendental?

How do you prove $\pi^5$ is transcendental?

Automorphisms of transcendental extensions.

Between any two real numbers, there is an algebraic number and also a transcendental number

What functions do we need besides polynomials to describe any real as the root of some equation?

Consequences of a proof of Schanuel's conjecture?

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