Metric star discrepancy results for alternating geometric progressions

Abstract We determine the limsup value of the law of the iterated logarithm for star discrepancies of alternating geometric progressions with ratios less than $$-13/3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>13</mml:mn> <mml:mo>/</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> .

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Publication Details

Journal
Monatshefte für Mathematik
Published
2024-12-21
DOI
https://doi.org/10.1007/s00605-024-02048-9
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Metric star discrepancy results for alternating geometric progressions

Katusi Fukuyama
Monatshefte für Mathematik
Advanced Numerical Analysis Techniques
article

Metric star discrepancy results for alternating geometric progressions

Katusi Fukuyama
article en

Abstract

Abstract We determine the limsup value of the law of the iterated logarithm for star discrepancies of alternating geometric progressions with ratios less than $$-13/3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>13</mml:mn> <mml:mo>/</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> .

Monatshefte für MathematikVol. 206(2)
Kobe University (JP)
Kobe University, Japan Society for the Promotion of Science
Openalex Percentile: Top 74%
Advanced Numerical Analysis Techniques
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Metric star discrepancy results for alternating geometric progressions — Katusi Fukuyama · Monatshefte für Mathematik (2024) | TGRS Research Map | TGRS