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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, 482-486

ISSN / ISBN: 0015-0517

INTRODUCTION: 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



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Reference Type: Journal Article

Subject Area(s): Number Theory