Question

$\sum\left|\sin\alpha n+\sin\beta n\right|/n=\infty$ when $\alpha\neq-\beta$

score 180 · Answer 1 · 2026-04-25 17:21:44

180

Views

$\sum\left|\sin\alpha n+\sin\beta n\right|/n=\infty$ when $\alpha\neq-\beta$

Published on 25 Apr 2026 - 17:21

score 460 · Answer 2 · 2026-05-06 03:13:47

460

Views

How to prove $(\{2^n3^m\alpha\})_{m,n\in\mathbb{N}}$ is dense in [0,1]?

Published on 06 May 2026 - 3:13

score 201 · Answer 3 · 2026-05-05 08:07:48

201

Views

$\{\{(2^n+3^m)\alpha\}:n,m\in\mathbb{N}\}$ is dense in [0,1]??

Published on 05 May 2026 - 8:07

score 570 · Answer 4 · 2026-04-16 02:44:02

570

Views

Prove that $\lim_{N\rightarrow\infty}(1/N)\sum_{n=1}^N f(nx)=\int_{0}^1f(t)dt$

Published on 16 Apr 2026 - 2:44

score 899 · Answer 5 · 2026-04-12 01:52:13

899

Views

Are polynomials modulo $1$ equidistributed?

Published on 12 Apr 2026 - 1:52

score 652 · Answer 6 · 2026-04-16 02:14:35

652

Views

Equidistribution of $\{\xi_n\}$ where $\xi_n = <n\frac{p}{q}>$ $p,q$ rel. prime

Published on 16 Apr 2026 - 2:14

score 215 · Answer 7 · 2026-04-12 18:40:13

215

Views

Algorithms for non-random but equidistributed ways to fill up a Cartesian plane

Published on 12 Apr 2026 - 18:40

score 334 · Answer 8 · 2026-04-16 01:36:27

334

Views

Generalization of the Riemann integral to functions on the sphere

Published on 16 Apr 2026 - 1:36

score 477 · Answer 9 · 2026-04-14 20:47:36

477

Views

Equidistribution of lattice points on spheres in dimensions $d \ge 4$ (Pommerenke's theorem)

Published on 14 Apr 2026 - 20:47

score 158 · Answer 10 · 2026-04-15 12:04:09

158

Views

A property related to equidistribution of sequences

Published on 15 Apr 2026 - 12:04

score 133 · Answer 11 · 2026-04-14 02:44:55

133

Views

Confusion about line in proof that (log p(n)) is not equidistributed

Published on 14 Apr 2026 - 2:44

score 215 · Answer 12 · 2026-04-17 14:36:32

215

Views

Prove that $\forall a\in \mathbb{R\smallsetminus Q}$, there exist infinitely many $n\in \mathbb N$ such that $\lfloor{an^2}\rfloor$ is even.

Published on 17 Apr 2026 - 14:36

score 4.8k · Answer 13 · 2026-04-30 11:19:49

4.8k

Views

$\sin (n^2)$ diverges

Published on 30 Apr 2026 - 11:19

score 86 · Answer 14 · 2026-04-15 19:32:46

86

Views

Equidistributed sequence in all $\Bbb R $?

Published on 15 Apr 2026 - 19:32

score 89 · Answer 15 · 2026-04-10 18:11:18

89

Views

Equi-distributed sequences for a doubling map?

Published on 10 Apr 2026 - 18:11

List Question

$\sum\left|\sin\alpha n+\sin\beta n\right|/n=\infty$ when $\alpha\neq-\beta$

How to prove $(\{2^n3^m\alpha\})_{m,n\in\mathbb{N}}$ is dense in [0,1]?

$\{\{(2^n+3^m)\alpha\}:n,m\in\mathbb{N}\}$ is dense in [0,1]??

Prove that $\lim_{N\rightarrow\infty}(1/N)\sum_{n=1}^N f(nx)=\int_{0}^1f(t)dt$

Are polynomials modulo $1$ equidistributed?

Equidistribution of $\{\xi_n\}$ where $\xi_n = <n\frac{p}{q}>$ $p,q$ rel. prime

Algorithms for non-random but equidistributed ways to fill up a Cartesian plane

Generalization of the Riemann integral to functions on the sphere

Equidistribution of lattice points on spheres in dimensions $d \ge 4$ (Pommerenke's theorem)

A property related to equidistribution of sequences

Confusion about line in proof that (log p(n)) is not equidistributed

Prove that $\forall a\in \mathbb{R\smallsetminus Q}$, there exist infinitely many $n\in \mathbb N$ such that $\lfloor{an^2}\rfloor$ is even.

$\sin (n^2)$ diverges

Equidistributed sequence in all $\Bbb R $?

Equi-distributed sequences for a doubling map?

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