List questions from continued-fractions

Published on 30 Aug 2017 - 15:37

94

Views

Show for irrational $x$ with a certain condition that for all $p,q\in\mathbb{Z}$, $\left|qx-p\right|\ge\frac{1}{200q}$ holds

Published on 02 Sep 2017 - 19:05

164

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Why does this function have an analytic continuation and how can we compute it?

Published on 04 Sep 2017 - 13:19

131

Views

Two dissimilar continued fractions that are equivalent $F(q)=G(q)$

Published on 05 Sep 2017 - 9:35

73

Views

Sequence of continued fractions

Published on 08 Sep 2017 - 13:06

212

Views

Best rational approximation with a twist: denominator must be a square

Published on 11 Sep 2017 - 3:50

250

Views

Show that $\alpha:=[2;2^{1!},2^{2!},2^{3!},..]$ (continued fraction) is transcendental

Published on 12 Sep 2017 - 20:00

200

Views

some property of the simple continued fraction for the riemann-zeta function

Published on 13 Sep 2017 - 18:29

135

Views

Finding multipliers to create nearly perfect squares

Published on 26 Mar 2026 - 12:52

183

Views

Two equivalent simple continued fractions $A\overset{\color{red}?}=B$

Published on 23 Sep 2017 - 10:22

130

Views

A numerical "coincidence"

Published on 24 Sep 2017 - 17:58

133

Views

complex theory of Pell equation

Published on 05 Oct 2017 - 10:13

32

Views

Can't end continued fraction

Published on 08 Oct 2017 - 14:48

74

Views

How to find the period of this chaotic map for $x_0=\sqrt{M}$?

Published on 26 Mar 2026 - 1:04

108

Views

Evaluate $C_f(n)={1\over4n+{1\over12n+{1\over 20n+{1\over 28n+\cdots}}}}$

Published on 11 Oct 2017 - 6:19

List Question

Solve this equation on x (x is a real number)

Show for irrational $x$ with a certain condition that for all $p,q\in\mathbb{Z}$, $\left|qx-p\right|\ge\frac{1}{200q}$ holds

Why does this function have an analytic continuation and how can we compute it?

Two dissimilar continued fractions that are equivalent $F(q)=G(q)$

Sequence of continued fractions

Best rational approximation with a twist: denominator must be a square

Show that $\alpha:=[2;2^{1!},2^{2!},2^{3!},..]$ (continued fraction) is transcendental

some property of the simple continued fraction for the riemann-zeta function

Finding multipliers to create nearly perfect squares

Two equivalent simple continued fractions $A\overset{\color{red}?}=B$

A numerical "coincidence"

complex theory of Pell equation

Can't end continued fraction

How to find the period of this chaotic map for $x_0=\sqrt{M}$?

Evaluate $C_f(n)={1\over4n+{1\over12n+{1\over 20n+{1\over 28n+\cdots}}}}$

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