Question

Strange property of irrational numbers, linked to continued fractions

score 112 · Answer 1 · 2019-08-31 08:16:14

112

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Strange property of irrational numbers, linked to continued fractions

Published on 31 Aug 2019 - 8:16

score 64 · Answer 2 · 2014-05-16 00:52:26

64

Views

Prove that eventually Hannah and the other swimmer will settle into a pattern where they pass each other (Please refer to the context in my question)

Published on 16 May 2014 - 0:52

score 110 · Answer 3 · 2014-07-17 01:39:23

110

Views

Functional equation relating to normal numbers

Published on 17 Jul 2014 - 1:39

score 1.6k · Answer 4 · 2014-08-18 02:13:35

1.6k

Views

Equidistribution of $an^\sigma$ for $\sigma\in(0,1)$

Published on 18 Aug 2014 - 2:13

score 98 · Answer 5 · 2014-11-02 17:20:58

98

Views

Is $\{(\frac{3}{2})^{n}\}_{\mathbb{N}}$ is equidistributed in [0,1] (related open question)

Published on 02 Nov 2014 - 17:20

score 1.5k · Answer 6 · 2014-12-26 21:26:07

1.5k

Views

Applications of equidistribution

Published on 26 Dec 2014 - 21:26

score 194 · Answer 7 · 2014-12-29 20:13:08

194

Views

The limit of an infinite product involving the squares of $\binom{n}{j}x^j(1-x)^{n-j}/k$

Published on 29 Dec 2014 - 20:13

score 135 · Answer 8 · 2019-11-21 16:32:18

135

Views

$\sqrt2 n^2$ is uniformly distributed.

Published on 21 Nov 2019 - 16:32

score 314 · Answer 9 · 2019-12-26 22:27:44

314

Views

Does equidistribution imply convergence

Published on 26 Dec 2019 - 22:27

score 70 · Answer 10 · 2020-02-27 21:58:58

70

Views

On the convergence rate of $\sum \frac{\ln(n)}{n}\{x^n+x^{-n}\}$

Published on 27 Feb 2020 - 21:58

score 174 · Answer 11 · 2020-03-23 15:35:20

174

Views

Show that the sequence $\frac{0}{1}, \frac{0}{2}, \frac{1}{2}, \frac{0}{3}, \frac{1}{3}, \frac{2}{3}, \dots \frac{k-1}{k}$ is equidistributed mod 1

Published on 23 Mar 2020 - 15:35

score 133 · Answer 12 · 2020-04-01 09:41:26

133

Views

On the convergence of the series $\sum \frac{(-1)^{\lfloor ne\rfloor}}{n}$

Published on 01 Apr 2020 - 9:41

score 98 · Answer 13 · 2020-05-19 17:33:25

98

Views

On the Equidistribution Weyl Theorem for $\{2^kx\}$

Published on 19 May 2020 - 17:33

score 449 · Answer 14 · 2020-05-23 18:15:45

449

Views

Distribution of $\{n^p\alpha\}$ for irrational $\alpha$

Published on 23 May 2020 - 18:15

score 249 · Answer 15 · 2020-06-08 19:31:13

249

Views

General Case of Weyl's Equidistribution Theorem

Published on 08 Jun 2020 - 19:31

List Question

Strange property of irrational numbers, linked to continued fractions

Prove that eventually Hannah and the other swimmer will settle into a pattern where they pass each other (Please refer to the context in my question)

Functional equation relating to normal numbers

Equidistribution of $an^\sigma$ for $\sigma\in(0,1)$

Is $\{(\frac{3}{2})^{n}\}_{\mathbb{N}}$ is equidistributed in [0,1] (related open question)

Applications of equidistribution

The limit of an infinite product involving the squares of $\binom{n}{j}x^j(1-x)^{n-j}/k$

$\sqrt2 n^2$ is uniformly distributed.

Does equidistribution imply convergence

On the convergence rate of $\sum \frac{\ln(n)}{n}\{x^n+x^{-n}\}$

Show that the sequence $\frac{0}{1}, \frac{0}{2}, \frac{1}{2}, \frac{0}{3}, \frac{1}{3}, \frac{2}{3}, \dots \frac{k-1}{k}$ is equidistributed mod 1

On the convergence of the series $\sum \frac{(-1)^{\lfloor ne\rfloor}}{n}$

On the Equidistribution Weyl Theorem for $\{2^kx\}$

Distribution of $\{n^p\alpha\}$ for irrational $\alpha$

General Case of Weyl's Equidistribution Theorem

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