A note on multiplicative functions resembling the Möbius function

DOI10.1016/j.jnt.2019.10.025zbMath1444.11197arXiv1908.11014OpenAlexW2971086073MaRDI QIDQ2307448

Marco Aymone

Publication date: 27 March 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11014

zbMATH Keywords

multiplicative functionsasymptotic results

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (5)

The Erdős discrepancy problem over the squarefree and cubefree integers ⋮ Multiplicative functions resembling the Möbius function ⋮ Multiplicative functions that are close to their mean ⋮ Multiplicative functions supported on the \(k\)-free integers with small partial sums ⋮ Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function

Cites Work

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• Rigidity theorems for multiplicative functions
• Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function
• The group of squarefree integers
• Random factorizations and Riemann's hypothesis
• The Erdős discrepancy problem
• Completely multiplicative functions taking values in ${-1,1}$
• On mean values of random multiplicative functions
• Correlations of multiplicative functions and applications
• On multiplicative functions resembling the Möbius function

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