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Weyl Equidistribution Theorem and a Limit

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#real-analysis #number-theory #ergodic-theory #equidistribution
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Expected value of fractional part is less than 1/2

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#real-analysis #sequences-and-series #equidistribution
142
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Distribute a given number of equally sized rectangles along a spiral path with minimum distance between adjacent rectangle edges constant

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#geometry #equidistribution
223
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Equidistribution results vs transcendence degree

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#number-theory #analytic-number-theory #ergodic-theory #equidistribution
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Are the fractional parts of $\log \log n!$ equidistributed or dense in $[0,1]$?

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#number-theory #reference-request #dynamical-systems #equidistribution
190
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Theorem on behaviour of real continuous functions on the integers

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#real-analysis #sequences-and-series #equidistribution
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When is a sequence $(x_n) \subset [0,1]$ dense in $[0,1]$?

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#general-topology #sequences-and-series #diophantine-approximation #equidistribution
281
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Is the set of logarithms of $N$-almost primes equidistributed?

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#prime-numbers #equidistribution
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Uniformly distributed rationals

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#real-analysis #analysis #equidistribution
435
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Vinogradov's equidistribution theorem

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#number-theory #equidistribution
732
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$(n^2 \alpha \bmod 1)$ is equidistributed in $\mathbb{T}^2$ if $\alpha \in \mathbb{R} \setminus \mathbb{Q}$

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#functional-analysis #ergodic-theory #equidistribution
604
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Equidistribution of roots of prime cyclotomic polynomials to prime moduli

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#number-theory #analytic-number-theory #equidistribution #exponential-sum
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Distributing points evenly between two fixed points

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#geometry #triangles #equidistribution
519
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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 $[0, 1)$

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#limits #equidistribution
273
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uniformly fractional parts

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#probability-theory #equidistribution

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