Question

Convergence of a finite continued fraction

score 82 · Answer 1 · 2020-04-17 15:51:48

82

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Convergence of a finite continued fraction

Published on 17 Apr 2020 - 15:51

score 453 · Answer 2 · 2020-04-18 22:13:07

453

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Continued Fraction using all Perfect Squares

Published on 18 Apr 2020 - 22:13

score 132 · Answer 3 · 2020-04-24 05:13:07

132

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Expressing continued fractions through $e$

Published on 24 Apr 2020 - 5:13

score 68 · Answer 4 · 2020-04-28 12:45:03

68

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Proving continued fraction for $\frac{I_{\frac{p}{q}}\left(\frac{2}{q}\right)}{I_{1+\frac{p}{q}}\left(\frac{2}{q}\right)}$

Published on 28 Apr 2020 - 12:45

score 319 · Answer 5 · 2020-04-29 16:01:43

319

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Why Is $\ln 23+\cfrac{1}{\color{red}{163}+\cfrac{1}{1+\cfrac{1}{\color{red}{41}}}}\approx\pi$

Published on 29 Apr 2020 - 16:01

score 127 · Answer 6 · 2026-03-26 16:26:36

127

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Conversion of definite integral to continued fraction:

Published on 26 Mar 2026 - 16:26

score 63 · Answer 7 · 2026-03-25 19:51:36

63

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Proof that $n$-th root of $n$-th partial convergent's denominator almost always tends to $e^{\frac{\pi^2}{12\ln{2}}}$

Published on 25 Mar 2026 - 19:51

score 136 · Answer 8 · 2020-05-07 10:00:52

136

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What is the simple continued fraction of $τ$ ($2π$)?

Published on 07 May 2020 - 10:00

score 279 · Answer 9 · 2020-05-11 11:14:51

279

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How do we prove this continued fraction for the quotient of gamma functions

Published on 11 May 2020 - 11:14

score 320 · Answer 10 · 2026-03-25 23:10:10

320

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Does the set of real numbers with bounded partial quotients have positive measure?

Published on 25 Mar 2026 - 23:10

score 123 · Answer 11 · 2020-05-17 17:04:15

123

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Is the Sum of Coefficients of a Continued Fraction unique?

Published on 17 May 2020 - 17:04

score 59 · Answer 12 · 2020-05-22 04:00:54

59

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If $N = y^2+1$ then the continued fraction of $\sqrt(N)$ has period 1.

Published on 22 May 2020 - 4:00

score 81 · Answer 13 · 2026-03-25 13:56:56

81

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How to write $x= \sqrt{n^2+2}$ as a continued fraction and prove that x is irrational?

Published on 25 Mar 2026 - 13:56

score 488 · Answer 14 · 2020-06-01 15:36:52

488

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Why does this continued fraction factorization magic trick work?

Published on 01 Jun 2020 - 15:36

score 187 · Answer 15 · 2020-06-02 12:01:21

187

Views

Convergence of generalised continued fractions (with positive partial numerators)

Published on 02 Jun 2020 - 12:01

List Question

Convergence of a finite continued fraction

Continued Fraction using all Perfect Squares

Expressing continued fractions through $e$

Proving continued fraction for $\frac{I_{\frac{p}{q}}\left(\frac{2}{q}\right)}{I_{1+\frac{p}{q}}\left(\frac{2}{q}\right)}$

Why Is $\ln 23+\cfrac{1}{\color{red}{163}+\cfrac{1}{1+\cfrac{1}{\color{red}{41}}}}\approx\pi$

Conversion of definite integral to continued fraction:

Proof that $n$-th root of $n$-th partial convergent's denominator almost always tends to $e^{\frac{\pi^2}{12\ln{2}}}$

What is the simple continued fraction of $τ$ ($2π$)?

How do we prove this continued fraction for the quotient of gamma functions

Does the set of real numbers with bounded partial quotients have positive measure?

Is the Sum of Coefficients of a Continued Fraction unique?

If $N = y^2+1$ then the continued fraction of $\sqrt(N)$ has period 1.

How to write $x= \sqrt{n^2+2}$ as a continued fraction and prove that x is irrational?

Why does this continued fraction factorization magic trick work?

Convergence of generalised continued fractions (with positive partial numerators)

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