Sommes friables de fonctions multiplicatives aléatoires

DOI10.4064/aa152-3-2zbMath1304.11103OpenAlexW2963234257MaRDI QIDQ3113163

Joseph Basquin

Publication date: 7 February 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa152-3-2

zbMATH Keywords

martingalemultiplicative functionDoob's inequalityfriable integersrandom multiplicative function

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

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An almost sure upper bound for random multiplicative functions on integers with a large prime factor ⋮ Partial sums of biased random multiplicative functions ⋮ Extremal bounds for Dirichlet polynomials with random multiplicative coefficients ⋮ Sign changes of the partial sums of a random multiplicative function ⋮ On the random Chowla conjecture ⋮ Random multiplicative functions: the Selberg-Delange class ⋮ 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

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