Question

Proving a sum is finite using Equidistribution

score 57 · Answer 1 · 2015-02-09 02:42:12

57

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Proving a sum is finite using Equidistribution

Published on 09 Feb 2015 - 2:42

score 90 · Answer 2 · 2015-06-23 06:55:08

90

Views

How do I estimate the error term when computing the number of integers which have the fractional part of their square roots in a given interval?

Published on 23 Jun 2015 - 6:55

score 727 · Answer 3 · 2015-07-03 12:41:06

727

Views

Fractional part of $n\alpha$ is equidistributed

Published on 03 Jul 2015 - 12:41

score 15.2k · Answer 4 · 2015-07-12 01:36:01

15.2k

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Is the Fibonacci lattice the very best way to evenly distribute N points on a sphere? So far it seems that it is the best?

Published on 12 Jul 2015 - 1:36

score 43 · Answer 5 · 2015-08-18 23:15:32

43

Views

Do there exist equidistributed countable subgroups in (compact) Lie groups?

Published on 18 Aug 2015 - 23:15

score 78 · Answer 6 · 2015-08-25 00:52:02

78

Views

Equidistribution and Smaller Sets

Published on 25 Aug 2015 - 0:52

score 80 · Answer 7 · 2015-09-02 00:10:31

80

Views

Kloosterman Sums and Lattice Hyperbolas

Published on 02 Sep 2015 - 0:10

score 278 · Answer 8 · 2015-10-29 22:53:42

278

Views

Equidistribution mod $1$ of sequence of rational numbers from interval $(0,1]$.

Published on 29 Oct 2015 - 22:53

score 303 · Answer 9 · 2015-11-29 04:41:46

303

Views

An equidistributed sequence: $an^\sigma$ for $a\neq0$ and $\sigma$ noninteger

Published on 29 Nov 2015 - 4:41

score 59 · Answer 10 · 2026-03-07 14:26:21

59

Views

Two questions about pseudo equidistributed sequences modulo 1

Published on 07 Mar 2026 - 14:26

score 1.6k · Answer 11 · 2026-03-25 10:07:50

1.6k

Views

Show that $ \lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=0}^{n-1}e^{ik^2}=0$

Published on 25 Mar 2026 - 10:07

score 282 · Answer 12 · 2026-03-24 02:08:54

282

Views

Can you provide us an understandable and detailed explanation of the relationship between prime numbers and equidistibution theory?

Published on 24 Mar 2026 - 2:08

score 218 · Answer 13 · 2026-03-23 10:07:11

218

Views

Using Furstenberg's skew-product for $\alpha n^2$ equidistributed.

Published on 23 Mar 2026 - 10:07

score 130 · Answer 14 · 2026-03-09 06:02:17

130

Views

Trying to prove that $\lim_{N \rightarrow \infty} \frac{1}{N} \Sigma_{n=1}^N f(n\alpha) = \int_0^1 f(x) dx$

Published on 09 Mar 2026 - 6:02

score 604 · Answer 15 · 2026-02-24 10:23:52

604

Views

Equidistribution of $\sin(n)$

Published on 24 Feb 2026 - 10:23

List Question

Proving a sum is finite using Equidistribution

How do I estimate the error term when computing the number of integers which have the fractional part of their square roots in a given interval?

Fractional part of $n\alpha$ is equidistributed

Is the Fibonacci lattice the very best way to evenly distribute N points on a sphere? So far it seems that it is the best?

Do there exist equidistributed countable subgroups in (compact) Lie groups?

Equidistribution and Smaller Sets

Kloosterman Sums and Lattice Hyperbolas

Equidistribution mod $1$ of sequence of rational numbers from interval $(0,1]$.

An equidistributed sequence: $an^\sigma$ for $a\neq0$ and $\sigma$ noninteger

Two questions about pseudo equidistributed sequences modulo 1

Show that $ \lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=0}^{n-1}e^{ik^2}=0$

Can you provide us an understandable and detailed explanation of the relationship between prime numbers and equidistibution theory?

Using Furstenberg's skew-product for $\alpha n^2$ equidistributed.

Trying to prove that $\lim_{N \rightarrow \infty} \frac{1}{N} \Sigma_{n=1}^N f(n\alpha) = \int_0^1 f(x) dx$

Equidistribution of $\sin(n)$

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