Question

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

score 177 · Answer 1 · 2016-06-20 23:31:34

177

Views

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

Published on 20 Jun 2016 - 23:31

score 458 · Answer 2 · 2016-06-23 09:15:18

458

Views

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

Published on 23 Jun 2016 - 9:15

score 199 · Answer 3 · 2016-06-27 14:08:18

199

Views

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

Published on 27 Jun 2016 - 14:08

score 567 · Answer 4 · 2013-05-07 19:01:02

567

Views

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

Published on 07 May 2013 - 19:01

score 896 · Answer 5 · 2013-05-09 11:43:39

896

Views

Are polynomials modulo $1$ equidistributed?

Published on 09 May 2013 - 11:43

score 649 · Answer 6 · 2014-02-26 23:00:28

649

Views

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

Published on 26 Feb 2014 - 23:00

score 212 · Answer 7 · 2014-03-01 05:33:59

212

Views

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

Published on 01 Mar 2014 - 5:33

score 331 · Answer 8 · 2014-03-04 14:09:31

331

Views

Generalization of the Riemann integral to functions on the sphere

Published on 04 Mar 2014 - 14:09

score 474 · Answer 9 · 2014-03-09 20:21:18

474

Views

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

Published on 09 Mar 2014 - 20:21

score 155 · Answer 10 · 2017-05-11 08:38:51

155

Views

A property related to equidistribution of sequences

Published on 11 May 2017 - 8:38

score 130 · Answer 11 · 2017-05-12 09:34:18

130

Views

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

Published on 12 May 2017 - 9:34

score 212 · Answer 12 · 2017-05-12 11:12:55

212

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 12 May 2017 - 11:12

score 4.8k · Answer 13 · 2017-07-27 08:40:29

4.8k

Views

$\sin (n^2)$ diverges

Published on 27 Jul 2017 - 8:40

score 83 · Answer 14 · 2017-10-11 00:24:53

83

Views

Equidistributed sequence in all $\Bbb R $?

Published on 11 Oct 2017 - 0:24

score 86 · Answer 15 · 2018-01-05 19:08:44

86

Views

Equi-distributed sequences for a doubling map?

Published on 05 Jan 2018 - 19:08

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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