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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Linear recurrences and uniform distribution


Author: Melvyn B. Nathanson
Journal: Proc. Amer. Math. Soc. 48 (1975), 289-291
MSC: Primary 10F40; Secondary 10A35
MathSciNet review: 0364124
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Abstract: A necessary and sufficient condition is obtained for the uniform distribution modulo $ p$ of a sequence of integers satisfying a linear recurrence relation.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0364124-5
Keywords: Uniform distribution, recurrence sequences, linear recurrences, Hasse principle
Article copyright: © Copyright 1975 American Mathematical Society