Random Multiplicative Functions in Short Intervals

DOI10.1093/imrn/rnr023zbMath1248.11056arXiv1011.4917OpenAlexW2964077185MaRDI QIDQ3225182

Sourav Chatterjee, Kannan Soundararajan

Publication date: 15 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4917

zbMATH Keywords

Stein's methodnormal approximationprobabilistic number theoryrandom multiplicative functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Arithmetic functions in probabilistic number theory (11K65)

Related Items (15)

HELSON'S PROBLEM FOR SUMS OF A RANDOM MULTIPLICATIVE FUNCTION ⋮ Partial sums of biased random multiplicative functions ⋮ A model problem for multiplicative chaos in number theory ⋮ Extremal bounds for Dirichlet polynomials with random multiplicative coefficients ⋮ Partial sums of typical multiplicative functions over short moving intervals ⋮ 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 ⋮ Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function ⋮ A central limit theorem for a new statistic on permutations ⋮ On mean values of random multiplicative functions ⋮ Central limit theorem for the free energy of the random field Ising model ⋮ MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS ⋮ The distribution of short character sums

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