Question

For which the below fraction refer to?

score 24 · Answer 1 · 2018-11-12 19:00:21

24

Views

For which the below fraction refer to?

Published on 12 Nov 2018 - 19:00

score 98 · Answer 2 · 2018-11-13 08:22:21

98

Views

About the Fibonacci "continued fractions"

Published on 13 Nov 2018 - 8:22

score 831 · Answer 3 · 2018-11-13 18:52:34

831

Views

Find continued fractions and corresponding rationals

Published on 13 Nov 2018 - 18:52

score 2.5k · Answer 4 · 2018-11-19 05:52:46

2.5k

Views

Limit of a sequence of integrals involving continued fractions

Published on 19 Nov 2018 - 5:52

score 779 · Answer 5 · 2026-03-13 19:45:46

779

Views

Representation of Transcendental number via continued fractions

Published on 13 Mar 2026 - 19:45

score 171 · Answer 6 · 2018-11-22 14:40:28

171

Views

Is there a proof of an infinite number of prime numbers using the irrationality of $e$?

Published on 22 Nov 2018 - 14:40

score 90 · Answer 7 · 2018-11-23 22:22:27

90

Views

Closed form for $K(n)=[0;\overline{1,2,3,...,n}]$

Published on 23 Nov 2018 - 22:22

score 119 · Answer 8 · 2026-03-25 04:35:58

119

Views

Continued fractions approximation using golden ratio

Published on 25 Mar 2026 - 4:35

score 1.6k · Answer 9 · 2026-03-24 21:46:40

1.6k

Views

Prove $\sum_{n=1}^\infty\frac{\cot(\pi n\sqrt{61})}{n^3}=-\frac{16793\pi^3}{45660\sqrt{61}}$

Published on 24 Mar 2026 - 21:46

score 191 · Answer 10 · 2018-12-01 02:05:46

191

Views

Predicting the change in the denominator of a continued fraction when reversing the order of $a_1$ through $a_n$.

Published on 01 Dec 2018 - 2:05

score 125 · Answer 11 · 2026-03-25 05:59:02

125

Views

Evaluating the continued fraction

Published on 25 Mar 2026 - 5:59

score 171 · Answer 12 · 2018-12-08 17:37:30

171

Views

Symmetric continued fractions property where $q^2\equiv(-1)^n$ mod $p$

Published on 08 Dec 2018 - 17:37

score 1.3k · Answer 13 · 2018-12-10 22:23:28

1.3k

Views

Show that $\pi ≈ 355/113$ is the best rational approximation of $\pi$ with a three-digit denominator

Published on 10 Dec 2018 - 22:23

score 98 · Answer 14 · 2018-12-15 11:29:16

98

Views

$N \in \mathbb{N}$ is not a square, show that the continued fraction expansion of $\sqrt N/\lfloor\sqrt N\rfloor$ is $[1,\overline{a_1,a_2,\dots,2}]$

Published on 15 Dec 2018 - 11:29

score 33 · Answer 15 · 2018-12-16 23:48:21

33

Views

How do I prove that $\mathcal{P}_d(\mathbb{Z})^+\neq\varnothing$ and that Pell's equation solutions are convergents

Published on 16 Dec 2018 - 23:48

List Question

For which the below fraction refer to?

About the Fibonacci "continued fractions"

Find continued fractions and corresponding rationals

Limit of a sequence of integrals involving continued fractions

Representation of Transcendental number via continued fractions

Is there a proof of an infinite number of prime numbers using the irrationality of $e$?

Closed form for $K(n)=[0;\overline{1,2,3,...,n}]$

Continued fractions approximation using golden ratio

Prove $\sum_{n=1}^\infty\frac{\cot(\pi n\sqrt{61})}{n^3}=-\frac{16793\pi^3}{45660\sqrt{61}}$

Predicting the change in the denominator of a continued fraction when reversing the order of $a_1$ through $a_n$.

Evaluating the continued fraction

Symmetric continued fractions property where $q^2\equiv(-1)^n$ mod $p$

Show that $\pi ≈ 355/113$ is the best rational approximation of $\pi$ with a three-digit denominator

$N \in \mathbb{N}$ is not a square, show that the continued fraction expansion of $\sqrt N/\lfloor\sqrt N\rfloor$ is $[1,\overline{a_1,a_2,\dots,2}]$

How do I prove that $\mathcal{P}_d(\mathbb{Z})^+\neq\varnothing$ and that Pell's equation solutions are convergents

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