Unexpected Regularities in the Behavior of Some Number-Theoretic Power Series

DOI10.1007/978-3-319-92777-0_6zbMath1441.11253OpenAlexW2810188799MaRDI QIDQ3119765

Adolf Hildebrand

Publication date: 12 March 2019

Published in: Irregularities in the Distribution of Prime Numbers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-92777-0_6

zbMATH Keywords

Möbius power seriesprime number estimates

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Convergence and divergence of series and sequences (40A05)

Uses Software

• LMFDB

Cites Work

• Unnamed Item
• Heuristic investigation of chaotic mapping producing fractal objects
• Sur certaines séries entières particulières
• On the behaviour close to the unit circle of the power series with Möbius function coefficients
• Asymptotic estimates for some number-theoretic power series
• Numerical studies of the Möbius power series
• On oscillations of number-theoretic functions

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