McCarthy, Paul J. Regular arithmetical convolutions. (English) Zbl 0203.35304 Port. Math. 27, 1-13 (1968). A generalized Ramanujan sum is defined relative to a regular arithmetical convolution, the latter notion being due to W. Narkiewicz [Colloq. Math. 10, 81–94 (1963; Zbl 0114.26502)]. A partial order is introduced on the set of regular arithmetical convolutions, and the Ramanujan sums relative to convolutions related by this order are shown to be related. Reviewer: Paul J. McCarthy (Tallahassee) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 3 Documents MSC: 11A25 Arithmetic functions; related numbers; inversion formulas Citations:Zbl 0114.26502 PDF BibTeX XML Cite \textit{P. J. McCarthy}, Port. Math. 27, 1--13 (1968; Zbl 0203.35304) Full Text: EuDML