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Metric discrepancy results for geometric progressions with large ratios

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Abstract

For geometric progressions with common ratios greater than 4, the speed of convergence to the uniform distribution is determined for almost all initial values.

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Authors and Affiliations

  1. Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan

    Katusi Fukuyama & Mai Yamashita

Authors
  1. Katusi Fukuyama
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  2. Mai Yamashita
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Corresponding author

Correspondence to Katusi Fukuyama.

Additional information

Communicated by J. Schoißengeier.

Dedicated to Professor Norio Kôno on his 77th birthday.

K. Fukuyama was supported by KAKENHI 24340017 and 24340020.

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Fukuyama, K., Yamashita, M. Metric discrepancy results for geometric progressions with large ratios. Monatsh Math 180, 731–742 (2016). https://doi.org/10.1007/s00605-015-0791-y

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  • DOI: https://doi.org/10.1007/s00605-015-0791-y

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