Multiplicative functions resembling the Möbius function

DOI10.1007/s10114-023-2259-7arXiv2205.00972OpenAlexW4386572114MaRDI QIDQ6145655

Qingyang Liu

Publication date: 9 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00972

zbMATH Keywords

Möbius functionzeta-functionrandom multiplicative function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Arithmetic functions in probabilistic number theory (11K65)

Cites Work

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• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• A note on multiplicative functions resembling the Möbius function
• Random factorizations and Riemann's hypothesis
• Large values of Dirichlet polynomials, III
• Partial sums of the Möbius function
• On mean values of random multiplicative functions
• Multiplicative functions that are close to their mean

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