Question

For which the below fraction refer to?

score 27 · Answer 1 · 2026-04-14 08:04:18

27

Views

For which the below fraction refer to?

Published on 14 Apr 2026 - 8:04

score 101 · Answer 2 · 2026-04-09 08:32:37

101

Views

About the Fibonacci "continued fractions"

Published on 09 Apr 2026 - 8:32

score 834 · Answer 3 · 2026-04-13 09:43:58

834

Views

Find continued fractions and corresponding rationals

Published on 13 Apr 2026 - 9:43

score 2.5k · Answer 4 · 2026-04-11 13:37:19

2.5k

Views

Limit of a sequence of integrals involving continued fractions

Published on 11 Apr 2026 - 13:37

score 781 · Answer 5 · 2026-05-10 17:16:23

781

Views

Representation of Transcendental number via continued fractions

Published on 10 May 2026 - 17:16

score 173 · Answer 6 · 2026-04-12 02:00:44

173

Views

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

Published on 12 Apr 2026 - 2:00

score 93 · Answer 7 · 2026-04-14 04:49:44

93

Views

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

Published on 14 Apr 2026 - 4:49

score 122 · Answer 8 · 2026-05-10 14:50:20

122

Views

Continued fractions approximation using golden ratio

Published on 10 May 2026 - 14:50

score 1.6k · Answer 9 · 2026-05-10 15:52:42

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 10 May 2026 - 15:52

score 195 · Answer 10 · 2026-05-10 18:59:36

195

Views

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

Published on 10 May 2026 - 18:59

score 128 · Answer 11 · 2026-04-09 21:14:38

128

Views

Evaluating the continued fraction

Published on 09 Apr 2026 - 21:14

score 174 · Answer 12 · 2026-04-15 13:44:05

174

Views

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

Published on 15 Apr 2026 - 13:44

score 1.3k · Answer 13 · 2026-04-15 03:57:45

1.3k

Views

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

Published on 15 Apr 2026 - 3:57

score 101 · Answer 14 · 2026-04-16 05:08:22

101

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 16 Apr 2026 - 5:08

score 36 · Answer 15 · 2026-04-09 06:06:04

36

Views

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

Published on 09 Apr 2026 - 6:06

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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