Fibonacci Quarterly 5, pp. 137-140.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: INTRODUCTION: Let p_n be the number of digits of the n-th Fibonacci number, and ξ = (1+ √5)/2. The object of this note is to show that both the upper and lower bounds in ⎿(pn - 1)/log ξ ⏌ ≤ n - 1 ≤⎿pn /log ξ ⏌are attained for a set of values n having positive density.
Bibtex:
@article {,
AUTHOR = {Duncan, R. L.},
TITLE = {An application of uniform distributions to the Fibonacci numbers},
JOURNAL = {Fibonacci Quarterly},
YEAR = {1967},
VOLUME = {5},
PAGES = {137--140},
URL = {http://www.fq.math.ca/Scanned/5-2/duncan.pdf},
}
Reference Type: Journal Article
Subject Area(s): Number Theory