On the Uniform Distribution of the Sequence {αλx)

M. B. Levin

doi:10.1070/SM1975v027n02ABEH002508

On the Uniform Distribution of the Sequence {αλ^x)

M. B. Levin

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Abstract

Let λ 1 be a real transcendental number. In this paper a number a is constructed such that the sequence is completely uniformly distributed. For real λ_v > 1 (v = 1, …, s) numbers α₁, …, α_s are constructed such that the remainder of the uniform distribution of the sequence.

Original language	English
Pages (from-to)	183-197
Number of pages	15
Journal	Mathematics of the USSR - Sbornik
Volume	27
Issue number	2
DOIs	https://doi.org/10.1070/SM1975v027n02ABEH002508
State	Published - 28 Feb 1975
Externally published	Yes

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title = "On the Uniform Distribution of the Sequence \{αλx)",

abstract = "Let λ 1 be a real transcendental number. In this paper a number a is constructed such that the sequence is completely uniformly distributed. For real λv > 1 (v = 1, …, s) numbers α1, …, αs are constructed such that the remainder of the uniform distribution of the sequence.",

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AB - Let λ 1 be a real transcendental number. In this paper a number a is constructed such that the sequence is completely uniformly distributed. For real λv > 1 (v = 1, …, s) numbers α1, …, αs are constructed such that the remainder of the uniform distribution of the sequence.

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On the Uniform Distribution of the Sequence {αλ^x)

Abstract

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