Almost sure upper bound for random multiplicative functions
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Abstract
Let ε>0. Let f be a Steinhaus or Rademacher random multiplicative function. We prove that almost surely, as x→+∞, ∑n⩽xf(n)≪x√(log2x)3/4+ε.
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Authors: Rachid Caich
Institutions: Université Paris Cité, Sorbonne Université, Centre National de la Recherche Scientifique, Institut de Mathématiques de Jussieu-Paris Rive Gauche