Question

Bounding error for a generalized continued fraction partial sum

score 93 · Answer 1 · 2026-04-13 11:46:32

93

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Bounding error for a generalized continued fraction partial sum

Published on 13 Apr 2026 - 11:46

score 105 · Answer 2 · 2026-04-09 08:26:36

105

Views

Different characterizations of Liouville numbers

Published on 09 Apr 2026 - 8:26

score 162 · Answer 3 · 2026-04-12 00:48:17

162

Views

What numbers can be created by repetitive division of subsequent natural numbers?

Published on 12 Apr 2026 - 0:48

score 210 · Answer 4 · 2026-04-16 10:45:30

210

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Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

Published on 16 Apr 2026 - 10:45

score 1.2k · Answer 5 · 2026-04-09 03:00:30

1.2k

Views

Continued fractions of rational vs irrational numbers

Published on 09 Apr 2026 - 3:00

score 88 · Answer 6 · 2026-04-17 09:17:19

88

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How to interpret $\left(\begin{smallmatrix}p_n & p_{n-1}\\ q_n & q_{n-1}\end{smallmatrix}\right)$?

Published on 17 Apr 2026 - 9:17

score 58 · Answer 7 · 2026-04-21 09:49:43

58

Views

How to prove that $\frac 1{q_{n+2}}\leq \left|p_{n}-bq_n\right|$?

Published on 21 Apr 2026 - 9:49

score 58 · Answer 8 · 2026-04-16 23:51:48

58

Views

How to prove that $x=\frac{p_n+p_{n-1}x_{n+1}}{p_n+p_{n-1}x_{n+1}}$

Published on 16 Apr 2026 - 23:51

score 255 · Answer 9 · 2026-04-15 07:24:08

255

Views

Why can the transfer operator of the Gauss (continued fraction) map be used to prove the Riemann hypothesis but not the map for the Engel expansion?

Published on 15 Apr 2026 - 7:24

score 367 · Answer 10 · 2026-04-11 20:01:57

367

Views

How to prove that $\lim_{n\to \infty}\sin(n!)$ does not exists?

Published on 11 Apr 2026 - 20:01

score 385 · Answer 11 · 2026-04-12 10:15:25

385

Views

Numbers whose decimal digits are the coefficients of its continued fraction form

Published on 12 Apr 2026 - 10:15

score 531 · Answer 12 · 2026-05-05 03:41:57

531

Views

Continued fraction rate of convergence

Published on 05 May 2026 - 3:41

score 471 · Answer 13 · 2026-05-07 18:43:53

471

Views

algebra direct connect pell eqn soln $(p_{nk},q_{nk})$ with $(p_n + q_n\sqrt{D})^k$

Published on 07 May 2026 - 18:43

score 75 · Answer 14 · 2026-03-24 23:45:52

75

Views

Finite formula for behaviour of infinite continued fractions

Published on 24 Mar 2026 - 23:45

score 100 · Answer 15 · 2026-05-04 12:58:47

100

Views

approximating irrational roots of algebraic equations with the Pierce expansion

Published on 04 May 2026 - 12:58

List Question

Bounding error for a generalized continued fraction partial sum

Different characterizations of Liouville numbers

What numbers can be created by repetitive division of subsequent natural numbers?

Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

Continued fractions of rational vs irrational numbers

How to interpret $\left(\begin{smallmatrix}p_n & p_{n-1}\\ q_n & q_{n-1}\end{smallmatrix}\right)$?

How to prove that $\frac 1{q_{n+2}}\leq \left|p_{n}-bq_n\right|$?

How to prove that $x=\frac{p_n+p_{n-1}x_{n+1}}{p_n+p_{n-1}x_{n+1}}$

Why can the transfer operator of the Gauss (continued fraction) map be used to prove the Riemann hypothesis but not the map for the Engel expansion?

How to prove that $\lim_{n\to \infty}\sin(n!)$ does not exists?

Numbers whose decimal digits are the coefficients of its continued fraction form

Continued fraction rate of convergence

algebra direct connect pell eqn soln $(p_{nk},q_{nk})$ with $(p_n + q_n\sqrt{D})^k$

Finite formula for behaviour of infinite continued fractions

approximating irrational roots of algebraic equations with the Pierce expansion

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