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Brown, JR and Duncan, RL (1970)

Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences

Fibonacci Quarterly 8, pp. 482-486.

ISSN/ISBN: 0015-0517 DOI: Not available at this time.



Abstract: The purpose of this paper is to show that the sequence (ln Vn) is uniformly distributed mod 1, where (Vn) is defined by a linear recurrence Vn+k = ak-1Vn+k-1+ ... + a0 Vn, n ≥ 1, the initial terms V1, V2, ... , Vk being given positive numbers.


Bibtex:
@article {, AUTHOR = {Brown, J. L. and Duncan, R. L.}, TITLE = {Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences}, JOURNAL = {Fibonacci Quarterly}, YEAR = {1970}, VOLUME = {8}, NUMBER = {5}, PAGES = {482--486}, URL = {https://www-fq-math-ca.proxy1.athensams.net/Scanned/8-5/brown.pdf}, }


Reference Type: Journal Article

Subject Area(s): Number Theory