List questions from equidistribution

Published on 21 Feb 2011 - 6:17

305

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Expected value of fractional part is less than 1/2

Published on 06 Apr 2011 - 5:30

139

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Distribute a given number of equally sized rectangles along a spiral path with minimum distance between adjacent rectangle edges constant

Published on 27 Jun 2011 - 16:12

220

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Equidistribution results vs transcendence degree

Published on 29 Jun 2011 - 18:22

2.2k

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Are the fractional parts of $\log \log n!$ equidistributed or dense in $[0,1]$?

Published on 01 Jul 2011 - 6:33

187

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Theorem on behaviour of real continuous functions on the integers

Published on 01 Jul 2011 - 22:50

1.1k

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When is a sequence $(x_n) \subset [0,1]$ dense in $[0,1]$?

Published on 18 Oct 2011 - 23:41

278

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Is the set of logarithms of $N$-almost primes equidistributed?

Published on 21 Nov 2011 - 22:09

1.5k

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Uniformly distributed rationals

Published on 23 Nov 2011 - 17:15

432

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Vinogradov's equidistribution theorem

Published on 27 Nov 2011 - 22:38

729

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$(n^2 \alpha \bmod 1)$ is equidistributed in $\mathbb{T}^2$ if $\alpha \in \mathbb{R} \setminus \mathbb{Q}$

Published on 05 Dec 2011 - 23:09

601

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Equidistribution of roots of prime cyclotomic polynomials to prime moduli

Published on 11 Apr 2012 - 4:04

2.8k

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Distributing points evenly between two fixed points

Published on 25 Jun 2012 - 13:39

516

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Prove $0, \frac{1}{2}, 0, \frac{1}{3}, \frac{2}{3}, 0, \frac{1}{4}, \frac{2}{4}, ...$ equidistributed in $[0, 1)$

Published on 25 Sep 2012 - 7:58

269

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uniformly fractional parts

Published on 29 Oct 2012 - 15:45

List Question

Weyl Equidistribution Theorem and a Limit

Expected value of fractional part is less than 1/2

Distribute a given number of equally sized rectangles along a spiral path with minimum distance between adjacent rectangle edges constant

Equidistribution results vs transcendence degree

Are the fractional parts of $\log \log n!$ equidistributed or dense in $[0,1]$?

Theorem on behaviour of real continuous functions on the integers

When is a sequence $(x_n) \subset [0,1]$ dense in $[0,1]$?

Is the set of logarithms of $N$-almost primes equidistributed?

Uniformly distributed rationals

Vinogradov's equidistribution theorem

$(n^2 \alpha \bmod 1)$ is equidistributed in $\mathbb{T}^2$ if $\alpha \in \mathbb{R} \setminus \mathbb{Q}$

Equidistribution of roots of prime cyclotomic polynomials to prime moduli

Distributing points evenly between two fixed points

Prove $0, \frac{1}{2}, 0, \frac{1}{3}, \frac{2}{3}, 0, \frac{1}{4}, \frac{2}{4}, ...$ equidistributed in $[0, 1)$

uniformly fractional parts

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