A Calculus on Arithmetical Functions

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Excursions in Multiplicative Number Theory

Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher ((BAT))

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Abstract

The previous chapter introduced the concept of arithmetical convolution, unitary or otherwise, and the basics of a new type of calculus appeared. We take this project to its next stage and develop it into a powerful working tool.

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References

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  6. Akhilesh P and O. Ramaré. “Explicit averages of non-negative multiplicative functions: going beyond the main term”. In: Colloq. Math. 147.2 (2017), pp. 275–313. https://doi.org/10.4064/cm6080-4-2016 (cit. on p. 21).

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Correspondence to Olivier Ramaré .

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Ramaré, O. (2022). A Calculus on Arithmetical Functions. In: Excursions in Multiplicative Number Theory. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-73169-4_2

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