Sign changes of the partial sums of a random multiplicative function

DOI10.1112/blms.12710arXiv2103.05413OpenAlexW3135907818MaRDI QIDQ6135038

Marco Aymone, Jing Zhao, Winston Heap

Publication date: 23 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05413

zbMATH Keywords

partial sumssign changesrandom multiplicative function

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Asymptotic results on arithmetic functions (11N37)

Cites Work

• Unnamed Item
• Partial sums of biased random multiplicative functions
• Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function
• Law of the iterated logarithm for a random Dirichlet series
• Real zeros of random Dirichlet series
• Random factorizations and Riemann's hypothesis
• Sommes friables de fonctions multiplicatives aléatoires
• Partial sums of the Möbius function
• The distribution of the summatory function of the Möbius function
• On mean values of random multiplicative functions

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