HELSON'S PROBLEM FOR SUMS OF A RANDOM MULTIPLICATIVE FUNCTION

DOI10.1112/S0025579315000236zbMath1348.11072arXiv1411.6388MaRDI QIDQ3465569

Kristian Seip, Andriy V. Bondarenko

Publication date: 22 January 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6388

zbMATH Keywords

random multiplicative functionHelson's problemindependent Steinhaus variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) (H^p)-spaces (42B30) Distribution functions associated with additive and positive multiplicative functions (11N60) Functional analysis techniques applied to functions of several complex variables (32A70)

Related Items (8)

Idempotent Fourier multipliers acting contractively on \(H^p\) spaces ⋮ Moments of polynomials with random multiplicative coefficients ⋮ Some open questions in analysis for Dirichlet series ⋮ Better than square-root cancellation for random multiplicative functions ⋮ Sixth norm of a Steinhaus chaos ⋮ Weak product spaces of Dirichlet series ⋮ MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS ⋮ Small Gál sums and applications

Cites Work

• A lower bound in Nehari's theorem on the polydisc
• The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums
• Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function
• An inequality of Hardy-Littlewood type for Dirichlet polynomials
• Random factorizations and Riemann's hypothesis
• Analytic Number Theory
• Random Multiplicative Functions in Short Intervals
• Hankel forms and sums of random variables
• Hankel forms
• Integral means and boundary limits of Dirichlet series

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