Question

Closed form for a pair of continued fractions

score 1.8k · Answer 1 · 2026-03-28 22:55:15

1.8k

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Closed form for a pair of continued fractions

Published on 28 Mar 2026 - 22:55

score 3.5k · Answer 2 · 2011-10-26 10:16:23

3.5k

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Arithmetic of continued fractions, does it exist?

Published on 26 Oct 2011 - 10:16

score 1.4k · Answer 3 · 2011-11-14 05:12:09

1.4k

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Convergent of continued fractions the best rational approximation of a number?

Published on 14 Nov 2011 - 5:12

score 2.8k · Answer 4 · 2011-11-15 08:17:50

2.8k

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Taking the negative of a continued fraction

Published on 15 Nov 2011 - 8:17

score 283 · Answer 5 · 2011-11-17 19:57:29

283

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A continued fraction involving composite numbers

Published on 17 Nov 2011 - 19:57

score 132 · Answer 6 · 2011-11-25 21:02:48

132

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Show $p(n)=n(p_{n-1}+p_{n-2})+(n-1)p_{n-3}+(n-2)p_{n-4}+...+3p_1+2p_0+2$

Published on 25 Nov 2011 - 21:02

score 1k · Answer 7 · 2011-11-27 13:34:55

1k

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Reciprocal of a continued fraction

Published on 27 Nov 2011 - 13:34

score 1.3k · Answer 8 · 2026-03-26 12:50:39

1.3k

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How to simplify $\newcommand{\bigk}{\mathop{\vcenter{\hbox{K}}}}\prod_{p\in\mathbb{P}}\left(1+\bigk_{k=1}^{\infty }\frac{f_k(s)}{g_k(s)}\right)^{-1}$

Published on 26 Mar 2026 - 12:50

score 2k · Answer 9 · 2011-12-01 22:14:19

2k

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Continued fraction: Show $\sqrt{n^2+2n}=[n; \overline{1,2n}]$

Published on 01 Dec 2011 - 22:14

score 713 · Answer 10 · 2026-03-29 03:52:48

713

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continued fractions and convex hulls

Published on 29 Mar 2026 - 3:52

score 89 · Answer 11 · 2011-12-08 20:18:31

Continued Fraction: Why do we get with $\gamma \in \mathbb{R}\setminus \mathbb{Q}$ the CF $\frac{1}{\gamma}=\langle0;a_0,a_1,\dotsc\rangle$

score 5k · Answer 12 · 2011-12-10 10:38:13

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Converting a square root into a simple continued fraction

Published on 10 Dec 2011 - 10:38

score 2.5k · Answer 13 · 2011-12-11 10:15:57

2.5k

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How to detect when continued fractions period terminates

Published on 11 Dec 2011 - 10:15

score 188 · Answer 14 · 2011-12-20 10:32:06

188

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How to prove that this series $f(z)=1+\sum_{k=1}^{\infty}2^{-k z}$ converges using the theory of continued fractions?

Published on 20 Dec 2011 - 10:32

score 205 · Answer 15 · 2012-01-21 19:23:16

205

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What do High-Water Marks in Continued Fractions mean?

Published on 21 Jan 2012 - 19:23

List Question

Closed form for a pair of continued fractions

Arithmetic of continued fractions, does it exist?

Convergent of continued fractions the best rational approximation of a number?

Taking the negative of a continued fraction

A continued fraction involving composite numbers

Show $p(n)=n(p_{n-1}+p_{n-2})+(n-1)p_{n-3}+(n-2)p_{n-4}+...+3p_1+2p_0+2$

Reciprocal of a continued fraction

How to simplify $\newcommand{\bigk}{\mathop{\vcenter{\hbox{K}}}}\prod_{p\in\mathbb{P}}\left(1+\bigk_{k=1}^{\infty }\frac{f_k(s)}{g_k(s)}\right)^{-1}$

Continued fraction: Show $\sqrt{n^2+2n}=[n; \overline{1,2n}]$

continued fractions and convex hulls

Continued Fraction: Why do we get with $\gamma \in \mathbb{R}\setminus \mathbb{Q}$ the CF $\frac{1}{\gamma}=\langle0;a_0,a_1,\dotsc\rangle$

Converting a square root into a simple continued fraction

How to detect when continued fractions period terminates

How to prove that this series $f(z)=1+\sum_{k=1}^{\infty}2^{-k z}$ converges using the theory of continued fractions?

What do High-Water Marks in Continued Fractions mean?

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