English

Moments of random multiplicative functions, III: A short review

Number Theory 2024-10-16 v1 Probability

Abstract

We give a short review of recent progress on determining the order of magnitude of moments Enxf(n)2q\mathbb{E}|\sum_{n \leq x} f(n)|^{2q} of random multiplicative functions, and of closely related issues. We hope this can serve as a concise introduction to some of the ideas involved, for those who may not have too much background in the area.

Keywords

Cite

@article{arxiv.2410.11523,
  title  = {Moments of random multiplicative functions, III: A short review},
  author = {Adam J. Harper},
  journal= {arXiv preprint arXiv:2410.11523},
  year   = {2024}
}

Comments

26 pages. A version of this paper will appear in the Proceedings of the ICBS 2024