Publication: Distribution of averages of ramanujan sums
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KU-Authors
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Type
Embargo Status
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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.
Source
Publisher
Springer
Subject
Mathematics
Citation
Has Part
Source
Ramanujan Journal
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Edition
DOI
10.1007/s11139-012-9424-4