Moments of polynomials with random multiplicative coefficients

DOI10.1112/mtk.12121zbMath1523.11143arXiv2012.15507OpenAlexW3115788513MaRDI QIDQ6048805

Alon Nishry, Brad Rodgers, Jacques Benatar

Publication date: 15 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15507

zbMATH Keywords

random multiplicative coefficientsSalem-Zygmund type central limit theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Trigonometric polynomials, inequalities, extremal problems (42A05) Arithmetic functions in probabilistic number theory (11K65)

Related Items (6)

Real zeros of random trigonometric polynomials with dependent coefficients ⋮ Extremal bounds for Dirichlet polynomials with random multiplicative coefficients ⋮ Exponential sums over primes with multiplicative coefficients ⋮ Partial sums of typical multiplicative functions over short moving intervals ⋮ Central limit theorems for random multiplicative functions ⋮ Better than square-root cancellation for random multiplicative functions

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