On sums of generalized Ramanujan sums

Yusuke Fujisawa ()
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Yusuke Fujisawa: Nagoya University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 1, 1-10

Abstract: Abstract Ramanujan sums have been studied and generalized by several authors. For example, Nowak [8] studied these sums over quadratic number fields, and Grytczuk [4] defined that on semigroups. In this note, we deduce some properties on sums of generalized Ramanujan sums and give examples on number fields. In particular, we have a relational expression between Ramanujan sums and residues of Dedekind zeta functions.

Keywords: Ramanujan sums; arithmetical functions (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0103-1

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