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On discrepancies of irrational rotations with several large partial quotients

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Abstract

We give some estimates for discrepancies of irrational rotations with several large partial quotients, and report unusual aspects of behavior of discrepancies caused by several large partial quotients.

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Authors and Affiliations

  1. Graduate School of Science Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan

    N. Shimaru

  2. Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan

    K. Takashima

Authors
  1. N. Shimaru
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  2. K. Takashima
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Correspondence to N. Shimaru.

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Shimaru, N., Takashima, K. On discrepancies of irrational rotations with several large partial quotients. Acta Math. Hungar. 156, 449–458 (2018). https://doi.org/10.1007/s10474-018-0875-y

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  • DOI: https://doi.org/10.1007/s10474-018-0875-y

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