Abstract
We define the Möbius power series throughf(z)=Σ ∞ n-1 z n,g(z)=Σ ∞ n=1 μ(n)z n/n where μ(n) is the usual Möbius function. This paper presents some heuristic estimates describing the behavior off(z) andg(z) when |z| is close to 1 together with representations in terms of elementary functions for real values ofz. Function tables are also given together with zeros and a few other special values.
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Fröberg, CE. Numerical studies of the Möbius power series. BIT 6, 191–211 (1966). https://doi.org/10.1007/BF01934354
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DOI: https://doi.org/10.1007/BF01934354