Question

Do all numbers of the form $\sqrt{n}$ have a periodic continued fraction in the form $[a_0; \overline{a_1, a_2, \cdots, a_k}]$??

score 310 · Answer 1 · 2020-01-19 09:01:55

310

Views

Do all numbers of the form $\sqrt{n}$ have a periodic continued fraction in the form $[a_0; \overline{a_1, a_2, \cdots, a_k}]$??

Published on 19 Jan 2020 - 9:01

score 156 · Answer 2 · 2020-02-06 04:09:45

156

Views

How do I solve the Continued Fraction $[1,x,x^2,x^3,\ldots]$

Published on 06 Feb 2020 - 4:09

score 204 · Answer 3 · 2020-02-06 11:18:56

204

Views

Conjecture about a continued fraction

Published on 06 Feb 2020 - 11:18

score 53 · Answer 4 · 2020-02-08 01:38:52

53

Views

$\mathbb Q(\sqrt{5})$ contains infinitely many elements with a uniform bound on their partial quotients

Published on 08 Feb 2020 - 1:38

score 493 · Answer 5 · 2020-02-12 10:20:27

493

Views

Prove the continued fraction of $\sqrt{n}$ has a period.

Published on 12 Feb 2020 - 10:20

score 66 · Answer 6 · 2020-02-13 22:44:30

66

Views

Continued fraction convergence

Published on 13 Feb 2020 - 22:44

score 455 · Answer 7 · 2026-03-25 23:10:01

455

Views

Diophantine properties of $\log(3)/\log(2)$ (and other questions)

Published on 25 Mar 2026 - 23:10

score 294 · Answer 8 · 2020-02-15 23:36:11

294

Views

To which $\alpha\in\mathbb{R}$ can $\frac{p}{q}$ be a convergent of its (alpha's) continued fractions?

Published on 15 Feb 2020 - 23:36

score 1.6k · Answer 9 · 2026-03-25 17:18:39

1.6k

Views

Negative solution for continued fraction 1 + 1/(1+(1/...

Published on 25 Mar 2026 - 17:18

score 602 · Answer 10 · 2020-02-22 04:36:28

602

Views

Formula for Feigenbaum’s constant?

Published on 22 Feb 2020 - 4:36

score 25 · Answer 11 · 2020-02-23 12:16:44

25

Views

Infinite rationals approaching irrational within denominator squared

Published on 23 Feb 2020 - 12:16

score 171 · Answer 12 · 2020-02-24 09:12:49

171

Views

On conjectured continued fractions and $e$

Published on 24 Feb 2020 - 9:12

score 408 · Answer 13 · 2020-02-26 07:49:48

408

Views

On expressing $\frac{\pi^n}{4\cdot 3^{n-1}}$ as a continued fraction.

Published on 26 Feb 2020 - 7:49

score 51 · Answer 14 · 2020-03-01 03:47:23

51

Views

my question is about recursion of continued fraction

Published on 01 Mar 2020 - 3:47

score 132 · Answer 15 · 2020-03-04 10:52:51

132

Views

A relation between $3-\sqrt 5$ and $\sqrt 5-1$

Published on 04 Mar 2020 - 10:52

List Question

Do all numbers of the form $\sqrt{n}$ have a periodic continued fraction in the form $[a_0; \overline{a_1, a_2, \cdots, a_k}]$??

How do I solve the Continued Fraction $[1,x,x^2,x^3,\ldots]$

Conjecture about a continued fraction

$\mathbb Q(\sqrt{5})$ contains infinitely many elements with a uniform bound on their partial quotients

Prove the continued fraction of $\sqrt{n}$ has a period.

Continued fraction convergence

Diophantine properties of $\log(3)/\log(2)$ (and other questions)

To which $\alpha\in\mathbb{R}$ can $\frac{p}{q}$ be a convergent of its (alpha's) continued fractions?

Negative solution for continued fraction 1 + 1/(1+(1/...

Formula for Feigenbaum’s constant?

Infinite rationals approaching irrational within denominator squared

On conjectured continued fractions and $e$

On expressing $\frac{\pi^n}{4\cdot 3^{n-1}}$ as a continued fraction.

my question is about recursion of continued fraction

A relation between $3-\sqrt 5$ and $\sqrt 5-1$

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