Sums of random multiplicative functions over function fields with few irreducible factors

DOI10.1017/S030500412200010XzbMath1497.11186arXiv2108.08232OpenAlexW3196284004MaRDI QIDQ5043360

Daksh Aggarwal, William Verreault, Chenghui Zheng, Asif Zaman, Unique Subedi

Publication date: 21 October 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.08232

zbMATH Keywords

limiting distributionrandom Rademacher multiplicative functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Arithmetic functions in probabilistic number theory (11K65)

Cites Work

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• Mean values of multiplicative functions over function fields
• Arithmetical semigroups. IV: Selberg's analysis
• Dependent central limit theorems and invariance principles
• On the size of primitive sets in function fields
• Random factorizations and Riemann's hypothesis
• Summation of a random multiplicative function on numbers having few prime factors
• The function field Sathe--Selberg formula in arithmetic progressions and `short intervals'
• On the limit distributions of some sums of a random multiplicative function

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