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An extension of Ramanujan's sum. II. Additive properties

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Publication:766567
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DOI10.1215/S0012-7094-55-02260-2zbMath0067.02205MaRDI QIDQ766567

Eckford Cohen

Publication date: 1955

Published in: Duke Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

number theory


Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)


Related Items (13)

Some properties of the extended Ramanujan sums ⋮ Partitions modulo \(n\) and circulant matrices ⋮ Restricted linear congruences ⋮ On the polynomial Ramanujan sums over finite fields ⋮ Sums of averages of generalized Ramanujan sums ⋮ Sums of weighted averages of gcd-sum functions. II ⋮ On Ramanujan sums over a Dedekind domain with finite norm property ⋮ On a generalization of the Dedekind-Hölder theorem ⋮ Generalized Ramanujan's sum ⋮ Sums of weighted averages of gcd-sum functions ⋮ Ramanujan’s sum in the ring of integers of an algebraic number field ⋮ On a congruence equation and related arithmetical identities ⋮ A formula for the number of solutions of a restricted linear congruence






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