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Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz

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From Arithmetic to Zeta-Functions

Abstract

The purpose of this article is to describe some questions which have arisen from discussions in the working group of Wolfgang Schwarz in the early 1970s. We concentrate on problems concerning arithmetical functions and deal with investigations of almost-even, limit-periodic, and almost-periodic functions. We give a survey of relevant results by Schwarz and Schwarz–Spilker, respectively, and add corresponding contributions of the author.

Dedicated to the memory of my academic teacher Wolfgang Schwarz

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Authors and Affiliations

  1. Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Warburger StraĂźe 100, 33098, Paderborn, Germany

    Karl-Heinz Indlekofer

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  1. Karl-Heinz Indlekofer
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Correspondence to Karl-Heinz Indlekofer .

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  1. Institut für Mathematik und Angewandte Informatik, Stiftung Universität Hildesheim, Hildesheim, Germany

    JĂĽrgen Sander

  2. Institut für Mathematik, Julius-Maximilians Universität Würzburg, Würzburg, Germany

    Jörn Steuding

  3. Institut für Mathematik, Julius-Maximilians Universität Würzburg, Würzburg, Germany

    Rasa Steuding

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Indlekofer, KH. (2016). Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz. In: Sander, J., Steuding, J., Steuding, R. (eds) From Arithmetic to Zeta-Functions. Springer, Cham. https://doi.org/10.1007/978-3-319-28203-9_12

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