Uniform distribution of sequences involving divisor function

نویسنده

  • Mehdi Hassani
چکیده

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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تاریخ انتشار 2013