Metric discrepancy results for geometric progressions with small ratios

Author:

Fukuyama K.,Sakaguchi S.,Shimabe O.,Toyoda T.,Tscheckl M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. Fukuyama K.: The law of the iterated logarithm for discrepancies of $${\{\theta^n x\}}$$ { θ n x } . Acta Math. Hungar., 118, 155–170 (2008)

2. K. Fukuyama, A central limit theorem and a metric discrepancy result for sequence with bounded gaps, in: Dependence in Probability, Analysis and Number Theory, A volume in memory of Walter Philipp, Eds. I. Berkes, R. Bradley, H. Dehling, M. Peligrad, and R. Tichy, Kendrick Press (2010), pp. 233–246.

3. Fukuyama K.: Metric discrepancy results for alternating geometric progressions. Monatsh. Math., 171, 33–63 (2013)

4. Fukuyama K.: A metric discrepancy result for the sequence of powers of minus two. Indag. Math. (NS), 25, 487–504 (2014)

5. K. Fukuyama, A metric discrepancy result for geometric progression with ratio 3/2 (preprint).

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