A generalization of regular convolutions and Ramanujan sums

DOI10.1007/s11139-019-00225-1zbMath1472.11032OpenAlexW3013730895MaRDI QIDQ2038989

Otto Vaughn Osterman, Joseph Vade Burnett

Publication date: 7 July 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00225-1

zbMATH Keywords

Ramanujan sumsarithmetical convolutionsinfinitary divisorsregular convolutions

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• Arithmetical functions associated with the unitary divisors of an integer
• The unitary analogue of Pillai's arithmetical function
• Arithmetic functions associated with the infinitary divisors of an integer
• Arithmetical functions associated with the \(k\)-ary divisors of an integer
• Menon's identity and arithmetical sums representing functions of several variables
• Arithmetical sums in regular convolutions.
• On an Integer's Infinitary Divisors
• On a class of arithmetical convolutions

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