Generalized Ramanujan's sum

DOI10.1007/BF02018375zbMath0395.10009OpenAlexW2079466892MaRDI QIDQ1252878

J. Chidambaraswamy

Publication date: 1979

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02018375

zbMATH Keywords

Completely Multiplicative FunctionsHoelder IdentityMultiplicativeRamanujan's SumTrigonometric Sum

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Exponential sums and character sums (11L99)

Related Items (3)

On the polynomial Ramanujan sums over finite fields ⋮ On a Ramanujan type expansion of arithmetical functions ⋮ Certain weighted averages of generalized Ramanujan sums

Cites Work

• An extension of Ramanujan's sum. II. Additive properties
• An extension of Ramanujan's sum. III: Connections with totient functions
• Some totient functions
• Eckford Cohen's generalization of Ramanujan's trigonometrical sum \(C(n,r)\)
• Totients with respect to a polynomial
• Some properties of the extended Ramanujan sums
• An extension of Ramanujan's sum
• The evaluation of Ramanujan's sum and generalizations
• Trigonometric Sums in Elementary Number Theory
• The Generation of Arithmetical Identities.
• Arithmetische Funktionen über Halbordnungen. I.

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