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

Karl-Heinz Indlekofer ()
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Karl-Heinz Indlekofer: University of Paderborn, Faculty of Computer Science, Electrical Engineering and Mathematics

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 179-199 from Springer

Abstract: 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.

Keywords: Almost-even and almost-periodic functions; Asymptotic results on arithmetical functions; Boundary behavior of power series; Compactifications of $$\mathbb{N}$$ and integration; Conformally equivalent series; Power series methods of summability; Ramanujan expansions; Uniformly summable functions; Primary 11K65; Secondary 11N37, 11N56, 11N60, 11N64, 30B30, 40G05, 40G10 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_12

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DOI: 10.1007/978-3-319-28203-9_12

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