Proc. Japan Acad. Ser. A Math. Sci. 61(3), pp. 83-86.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: In this note we first consider some sufficient conditions that the sequence (f(p_{n}))_{1}^{∞} is uniformly distributed mod 1 where f(x) is a kind of log-type function, and next we prove that (log n!) is uniformly distributed mod 1. In fact we give an estimate for the discrepancy of each sequence.
Bibtex:
@article{,
author = "Goto, Kazuo and Kano, Takeshi",
doi = "10.3792/pjaa.61.83",
fjournal = "Proceedings of the Japan Academy, Series A, Mathematical Sciences",
journal = "Proc. Japan Acad. Ser. A Math. Sci.",
number = "3",
pages = "83--86",
publisher = "The Japan Academy",
title = "Uniform distribution of some special sequences",
url = "https://doi.org/10.3792/pjaa.61.83",
volume = "61",
year = "1985"
}
Reference Type: Journal Article
Subject Area(s): Analysis, Number Theory