Results 101 to 110 of about 4,185 (152)

Uniform Distribution Modulo One

2014
The theory of Uniform Distribution Modulo One is a branch of Number Theory which goes back to the seminal work of H. Weyl from 1916. For us the main motivation to study this topic lies in its application for numerical integration based on QMC rules.
Gunther Leobacher   +1 more
openaire   +2 more sources

Convergence to the Uniform Distribution of Vectors of Partial Sums Modulo One with a Common Factor

Journal of theoretical probability, 2023
In this work, we prove the joint convergence in distribution of q variables modulo one obtained as partial sums of a sequence of i.i.d. square-integrable random variables multiplied by a common factor given by some function of an empirical mean of the ...
R. Flenghi, B. Jourdain
semanticscholar   +1 more source

On asymptotic distribution modulo a subdivision

Publicationes Mathematicae Debrecen, 2022
Let \((R_ n)\) \((n=0,1,2,...)\) and \((x_ n)\) \((n=1,2,...)\) be increasing and unbounded sequences of nonnegative real numbers with \(R_ 0=0\).
Kiss, P., Tichy, R. F.
openaire   +2 more sources

Uniform Distribution of αn Modulo One for A family of Integer Sequences

Uniform Distribution Theory, 2023
We show that the sequence (αn)n∈ℬ is uniformly distributed modulo 1, for every irrational α, provided ℬ belongs to a certain family of integer sequences, which includes the prime, almost prime, squarefree, practical, densely divisible and lexicographical
Andreas J. Weingartner
semanticscholar   +1 more source

On the Distribution Modulo one of the a-Points of the k th Derivative of an L-Function in the Selberg Class

Uniform Distribution Theory
Let F be an L-function from the Selberg class, F (k) be the kth derivative of F and a be an arbitrary fixed complex number. The solutions of F (k)(s)= a are called a-points.
M. Mekkaoui, K. Mazhouda
semanticscholar   +1 more source

On the Uniform Distribution of Inverses modulo n

Periodica Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beck, József, Khan, Mizan R.
openaire   +2 more sources

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