Distribution of averages of Ramanujan sums |
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Authors: | Emre Alkan |
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Institution: | 1. Department of Mathematics, Ko? University, Rumelifeneri Yolu, Sar?yer, 34450, Istanbul, Turkey
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Abstract: | The average value of a certain normalization of Ramanujan sums is determined in terms of Bernoulli numbers and odd values of the Riemann zeta function. The distribution of values and limiting behavior of such a normalization are then studied along subsets of Beurling type integers with positive density and sequences of moduli with constraints on the number of distinct prime factors. |
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