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Ramanujan expansions of arithmetic functions of several variables

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Abstract

We generalize certain recent results of Ushiroya concerning Ramanujan expansions of arithmetic functions of two variables. We also show that some properties on expansions of arithmetic functions of one and several variables using classical and unitary Ramanujan sums, respectively, run parallel.

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Acknowledgements

The author thanks the anonymous referee for careful reading of the manuscript and helpful comments.

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  1. Department of Mathematics, University of Pécs, Pécs, Ifjúság útja 6, 7624, Hungary

    László Tóth

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  1. László Tóth
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Tóth, L. Ramanujan expansions of arithmetic functions of several variables. Ramanujan J 47, 589–603 (2018). https://doi.org/10.1007/s11139-017-9944-z

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  • DOI: https://doi.org/10.1007/s11139-017-9944-z

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