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An identity for a class of arithmetical functions of several variables

Pentti Haukkanen

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-4

Abstract:

Johnson [1] evaluated the sum ∑ d | n | C ( d ; r ) | , where C ( n ; r ) denotes Ramanujan's trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of two variables. In this paper, we generalize this evaluation to a wide class of arithmetical functions of several variables and deduce as special cases the previous evaluations.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:328625

DOI: 10.1155/S0161171293000432

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