On the Distribution of Some Means concerning the Euler Function
نویسنده
چکیده
which give the arithmetic and the geometric means of the first n values of the Euler function, respectively, are uniformly distributed modulo 1. A. Schinzel modified these questions by asking whether these sequences are dense modulo 1. This question was repeated at the meeting on Uniform Distribution in Luminy in January 2008. In this paper, we give an affirmative answer to Schinzel’s question. Our results are the following: Theorem 1. Each one of the sequences of general terms: (i) sn = √∑
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