A New Generalization of Three Identities of Ramanujan and Suryanarayana

DOI10.1080/02522667.1988.10698925zbMath0655.10003OpenAlexW2280118771MaRDI QIDQ3801622

Bruno Rizzi, Franco Eugeni

Publication date: 1988

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.1988.10698925

zbMATH Keywords

arithmetical functionsRamanujan expansionsRamanujan identitiesgeneralized Ramanujan sums

Mathematics Subject Classification ID

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

Cites Work

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• Eckford Cohen's generalization of Ramanujan's trigonometrical sum \(C(n,r)\)
• On the mean parity of arithmetical functions
• Generalizations of the Euler \(\varphi\)-function
• An extension of Ramanujan's sum
• The evaluation of Ramanujan's sum and generalizations
• Square-Reduced Residue Systems (Mod r) and Related Arithmetical Functions
• Functional equations for totients
• On the Representations of a Number as the Sum of Three or More Products
• On the Foundations of Combinatorial Theory. VII: Symmetric Functions through the Theory of Distribution and Occupancy
• A New Generalization of Ramanujan's Sum
• A Generalization of Euler's φ-Function

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