Question

How to describe following set $\{ 1 \leq n \leq N: \alpha_n \in]a,b[\}$?

score 143 · Answer 1 · 2026-04-15 14:31:45

143

Views

How to describe following set $\{ 1 \leq n \leq N: \alpha_n \in]a,b[\}$?

Published on 15 Apr 2026 - 14:31

score 668 · Answer 2 · 2026-04-15 12:52:57

668

Views

${α⋅ \log(n)}$ is not uniformly distributed mod1 in $[0,1]$

Published on 15 Apr 2026 - 12:52

score 239 · Answer 3 · 2026-04-14 16:44:53

239

Views

Equidistribution theorem in two dimension

Published on 14 Apr 2026 - 16:44

score 307 · Answer 4 · 2026-04-17 12:32:46

307

Views

Fractional part of a log n is not equidistributed

Published on 17 Apr 2026 - 12:32

score 47 · Answer 5 · 2026-04-09 22:18:59

47

Views

Effective equidistribution for number with bounded irrationality measure

Published on 09 Apr 2026 - 22:18

score 356 · Answer 6 · 2026-04-11 14:11:40

356

Views

Uniform distribution of points on a sphere

Published on 11 Apr 2026 - 14:11

score 111 · Answer 7 · 2026-04-17 05:41:43

111

Views

Something similar to Kronecker's Theorem

Published on 17 Apr 2026 - 5:41

score 45 · Answer 8 · 2026-04-10 18:13:07

45

Views

Ratner's theorem on equidistribution for abelian linear sequences

Published on 10 Apr 2026 - 18:13

score 29 · Answer 9 · 2026-04-10 18:45:55

29

Views

Understanding the Single-scale equidistribution theorem for abelian polynomial sequences using example

Published on 10 Apr 2026 - 18:45

score 31 · Answer 10 · 2026-04-17 14:33:54

31

Views

Does equidistribution of $(a_n)_{n\in\mathbb{N}}$ imply equidistribution of $(a_n+a_{n+k})_{n\in\mathbb{N}}$?

Published on 17 Apr 2026 - 14:33

score 250 · Answer 11 · 2026-04-16 11:14:27

250

Views

What is wrong with the following proof that $\{ (\frac{3}{2})^n\mod 1: n\in\mathbb{N} \} $ is dense in $\ [0,1]\ $?

Published on 16 Apr 2026 - 11:14

score 291 · Answer 12 · 2026-04-15 17:01:35

291

Views

Show that $\lim_{N\to\infty}\int_0^1 \left|\frac1N\sum_{n=1}^N f(x+\xi_n) \right|^{\,2}\, dx = 0$ if $\int_0^1 f(x)\, dx = 0$ and $f$ is periodic

Published on 15 Apr 2026 - 17:01

score 80 · Answer 13 · 2026-04-14 01:11:21

80

Views

Equidistribution of Polynomials with At Least One Irrational Coeﬃcients

Published on 14 Apr 2026 - 1:11

score 68 · Answer 14 · 2026-04-12 18:46:40

68

Views

Inequality for sum of sines over integers in $[1;x]$

Published on 12 Apr 2026 - 18:46

score 22 · Answer 15 · 2026-04-17 03:12:11

22

Views

How do we show such set is equidistributed when it is involved from the image of local set?

Published on 17 Apr 2026 - 3:12

List Question

How to describe following set $\{ 1 \leq n \leq N: \alpha_n \in]a,b[\}$?

${α⋅ \log(n)}$ is not uniformly distributed mod1 in $[0,1]$

Equidistribution theorem in two dimension

Fractional part of a log n is not equidistributed

Effective equidistribution for number with bounded irrationality measure

Uniform distribution of points on a sphere

Something similar to Kronecker's Theorem

Ratner's theorem on equidistribution for abelian linear sequences

Understanding the Single-scale equidistribution theorem for abelian polynomial sequences using example

Does equidistribution of $(a_n)_{n\in\mathbb{N}}$ imply equidistribution of $(a_n+a_{n+k})_{n\in\mathbb{N}}$?

What is wrong with the following proof that $\{ (\frac{3}{2})^n\mod 1: n\in\mathbb{N} \} $ is dense in $\ [0,1]\ $?

Show that $\lim_{N\to\infty}\int_0^1 \left|\frac1N\sum_{n=1}^N f(x+\xi_n) \right|^{\,2}\, dx = 0$ if $\int_0^1 f(x)\, dx = 0$ and $f$ is periodic

Equidistribution of Polynomials with At Least One Irrational Coeﬃcients

Inequality for sum of sines over integers in $[1;x]$

How do we show such set is equidistributed when it is involved from the image of local set?

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