On the limit distributions of some sums of a random multiplicative function

DOI10.1515/crelle.2012.027zbMath1274.60067arXiv1012.0207OpenAlexW2963579449MaRDI QIDQ4923400

Adam J. Harper

Publication date: 6 June 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0207

zbMATH Keywords

central limit theoremrandom multiplicative functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

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Sums of random multiplicative functions over function fields with few irreducible factors ⋮ Partial sums of biased random multiplicative functions ⋮ A model problem for multiplicative chaos in number theory ⋮ On the random Chowla conjecture ⋮ Zeta functions and asymptotic additive bases with some unusual sets of primes ⋮ Central limit theorems for random multiplicative functions ⋮ Better than square-root cancellation for random multiplicative functions ⋮ Sixth norm of a Steinhaus chaos ⋮ A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions ⋮ MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS ⋮ Multiplicative functions supported on the \(k\)-free integers with small partial sums

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