Metric discrepancy results for geometric progressions with small ratios
K. Fukuyama, S. Sakaguchi, O. Shimabe, T. Toyoda, M. Tscheckl
TL;DR
This paper proves the law of the iterated logarithm for discrepancies of geometric progressions with small ratios, advancing understanding of their distributional properties.
Contribution
It introduces a rigorous proof of the law of the iterated logarithm specifically for discrepancies in geometric progressions with small ratios.
Findings
Established the law of the iterated logarithm for these discrepancies
Provided new theoretical insights into geometric progressions
Enhanced understanding of distributional behavior in small-ratio cases
Abstract
The law of the iterated logarithm for discrepancies of geometric progressions with small ratios is proved.
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Taxonomy
TopicsMathematical Approximation and Integration