Distribution of averages of Ramanujan sums
type: Item
instance of: scholarly article
title: Distribution of averages of Ramanujan sums
zbMATH Open document ID: 1297.11092
author: Emre Alkan
published in: The Ramanujan Journal
publication date: 2013-01-02T00:00:00Z
review text: The author studies weighted Ramanujan sums \(c_k(j)\) such as \(\sum^k_{j=1} j^r c_k(j)\); more exactly the distribution of values and the limiting behavior of a normalized form. His results involve Bernoulli numbers and odd values of the Riemann zeta function. He generalizes this to sets of Beurling-type integers.
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11N37
zbMATH DE Number: 6120458
zbMATH Keywords: Ramanujan sums
zbMATH Keywords: distribution of values
reviewed by: Jürgen Spilker
MaRDI profile type: Publication
full work available at URL: s11139-012-9424-4
OpenAlex ID: W2051192669
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DOI: 10.1007/S11139-012-9424-4
description: scientific article; zbMATH DE number 6120458