Question

Strange property of irrational numbers, linked to continued fractions

score 116 · Answer 1 · 2026-04-30 09:55:09

116

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Strange property of irrational numbers, linked to continued fractions

Published on 30 Apr 2026 - 9:55

score 68 · Answer 2 · 2026-04-28 14:19:30

68

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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 28 Apr 2026 - 14:19

score 116 · Answer 3 · 2026-05-03 03:58:18

116

Views

Functional equation relating to normal numbers

Published on 03 May 2026 - 3:58

score 1.6k · Answer 4 · 2026-05-02 07:47:24

1.6k

Views

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

Published on 02 May 2026 - 7:47

score 102 · Answer 5 · 2026-05-02 10:46:29

102

Views

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

Published on 02 May 2026 - 10:46

score 1.5k · Answer 6 · 2026-05-04 11:43:20

1.5k

Views

Applications of equidistribution

Published on 04 May 2026 - 11:43

score 199 · Answer 7 · 2026-05-02 11:01:16

199

Views

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

Published on 02 May 2026 - 11:01

score 140 · Answer 8 · 2026-05-02 11:35:52

140

Views

$\sqrt2 n^2$ is uniformly distributed.

Published on 02 May 2026 - 11:35

score 317 · Answer 9 · 2026-05-02 11:09:27

317

Views

Does equidistribution imply convergence

Published on 02 May 2026 - 11:09

score 73 · Answer 10 · 2026-05-02 11:33:22

73

Views

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

Published on 02 May 2026 - 11:33

score 178 · Answer 11 · 2026-05-02 00:03:12

178

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 02 May 2026 - 0:03

score 137 · Answer 12 · 2026-04-29 01:58:32

137

Views

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

Published on 29 Apr 2026 - 1:58

score 102 · Answer 13 · 2026-05-03 11:39:20

102

Views

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

Published on 03 May 2026 - 11:39

score 453 · Answer 14 · 2026-05-03 00:13:44

453

Views

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

Published on 03 May 2026 - 0:13

score 253 · Answer 15 · 2026-04-29 12:25:15

253

Views

General Case of Weyl's Equidistribution Theorem

Published on 29 Apr 2026 - 12:25

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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