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Growth of 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

In this chapter, we prove pointwise upper bounds for the values of arithmetic functions. This question is crucial to evaluate the abscissa of convergence of a series.

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Notes

  1. 1.

    Due to transliteration evolution, this name may be spelled differently, in particular the "j" may become "zh", while the initial of the first name may become "C" in some references.

References

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Authors and Affiliations

  1. Institut de Mathématiques de Marseille, CNRS / Aix-Marseille University, Marseille, Bouches du Rhône, France

    Olivier Ramaré

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  1. Olivier Ramaré
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Correspondence to Olivier Ramaré .

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Ramaré, O. (2022). Growth of 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_4

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