A metric discrepancy results for geometric progression with ratio $3/2$
Katusi Fukuyama
TL;DR
This paper proves the law of the iterated logarithm for discrepancies of geometric sequences with ratio 3/2, advancing understanding of their distribution properties.
Contribution
It establishes the law of the iterated logarithm for discrepancies of sequences with ratio 3/2, a novel result in discrepancy theory.
Findings
Discrepancy behavior follows the law of the iterated logarithm.
Provides rigorous proof for discrepancy distribution of geometric sequences.
Enhances theoretical understanding of sequence uniformity.
Abstract
We prove the law of the iterated logarithm for discrepancies of the sequence .
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical Approximation and Integration · Advanced Harmonic Analysis Research