Mean squares of quadratic twists of the Möbius function

DOI10.1016/j.jnt.2022.12.007OpenAlexW4318619760MaRDI QIDQ2689516

Peng Gao, Liangyi Zhao

Publication date: 10 March 2023

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

Full work available at URL: https://arxiv.org/abs/2212.09241

zbMATH Keywords

Möbius functionmean squarequadratic Dirichlet character

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40)

Cites Work

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• The second moment of quadratic twists of modular \(L\)-functions
• Transition mean values of real characters
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• Partial sums of the Möbius function in arithmetic progressions assuming GRH
• The third moment of quadratic Dirichlet \(L\)-functions
• Mean values of cubic and quartic Dirichlet characters
• Disproof of the Mertens conjecture.
• The sum of the Möbius function
• Partial sums of the Möbius function
• Mean values of some Hecke characters
• The distribution of the summatory function of the Möbius function
• Average values of quadratic Hecke character sums
• On multiplicative functions resembling the Möbius function

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