3 papers
math.PR2018
The central limit theorem for Riesz-Raikov sums II
Katusi Fukuyama
For a expanding matrix , we investigate randomness of the sequence and prove the central limit theorem for where is a periodic functi…
math.NT2018
A metric discrepancy results for geometric progression with ratio
Katusi Fukuyama
We prove the law of the iterated logarithm for discrepancies of the sequence .
math.NT2017
Metric discrepancy results for geometric progressions with small ratios
K. Fukuyama, S. Sakaguchi, O. Shimabe +2
The law of the iterated logarithm for discrepancies of geometric progressions with small ratios is proved.