Oto Strauch

Distribution functions of ratio sequences, IV

AbstractIn this paper we continue our study of distribution functions g(x) of the sequence of blocks

Benford's Law and Distribution Functions of Sequences in (0, 1) *

X_n = (\tfrac{{x_1 }} {{x_n }},\tfrac{{x_2 }} {{x_n }},...,\tfrac{{x_n }} {{x_n }})

Uniformly maldistributed sequences in a strict sense

, n = 1, 2, …, where xn is an increasing sequence of positive integers. Applying a special algorithm we find a lower bound of g(x) also for xn with lower asymptotic density

An extremal problem in uniform distribution theory

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Hilbert Space with Reproducing Kernel and Uniform Distribution Preserving Maps. I 1

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Diophantine approximation generalized

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Distribution Functions of the Sequence φ(m)/m, m ∈ (k, k + N) as k, N go to Infinity

= 0. This extends the lower bound of g(x) for xn with

Kloosterman's uniformly distributed sequence☆

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An improvement of an inequality of koksma

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Transformations that preserve uniform distribution

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