Multiplicative functions that are close to their mean

DOI10.1090/tran/8427zbMath1487.11086arXiv1911.06265OpenAlexW2988583291MaRDI QIDQ5158103

Alexander P. Mangerel, Joni Teräväinen, Cosmin Pohoata, Oleksiy Klurman

Publication date: 21 October 2021

Full work available at URL: https://arxiv.org/abs/1911.06265

zbMATH Keywords

partial sumssieve methodsmultiplicative function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (4)

The Erdős discrepancy problem over the squarefree and cubefree integers ⋮ Multiplicative functions resembling the Möbius function ⋮ A lower bound for the variance of generalized divisor functions in arithmetic progressions ⋮ Complex valued multiplicative functions with bounded partial sums

Cites Work

• Multiplicative functions, exponential sums and the law of large numbers
• Multiplicative mimicry and improvements to the Pólya-Vinogradov inequality
• Rigidity theorems for multiplicative functions
• On the orbits of multiplicative pairs
• A note on multiplicative functions resembling the Möbius function
• The Erdős discrepancy problem
• THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS
• Completely multiplicative functions taking values in ${-1,1}$
• Large values of Dirichlet polynomials, III
• The value distribution of additive arithmetic functions on a line
• Correlations of multiplicative functions and applications
• On the pairs of completely multiplicative functions satisfying some relation
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