Uniform Distribution of Sequences of Integers
نویسندگان
چکیده
منابع مشابه
Uniform distribution of sequences of integers
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Wemodify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distribution to show that the sequence with general term an = 1 n ∑ m≤n σ(m) is uniformly distributed modulo 1. We also study uniform distribution modulo 1 of some sequences related by the functions σ and φ. AMS subject classifications: 11K65, 11K31, 11J71, 11N36, 11N64
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What I want to describe is a kind of experimental mathematics, ideal for doing at times when honest thinking is not going well. The requirements are a small computer (pencil and paper suffice, though the calculations are tedious), and Neil Sloane’s “A Handbook of Integer Sequences” [15]. This book, a kind of hitch-hikers’ guide to the universe N”, consists mainly of a list of 2372 sequences of ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1961
ISSN: 0002-9947
DOI: 10.2307/1993512