{
  "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.",
  "abstract_shown": true,
  "affiliations": [
    "Institut de Mathématiques de Jussieu – Paris Rive Gauche Université Paris Cité Sorbonne Université CNRS 75013 Paris, France"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Rachid Caich",
      "orcid": "0009-0001-4290-4062"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7fzbk6asyyy8e.bib",
  "cited_by": 15,
  "doi": "10.4064/aa250225-20-2",
  "fulltext_url": null,
  "id": "7fzbk6asyyy8e",
  "issns": [
    "0065-1036",
    "1730-6264"
  ],
  "landing_url": "https://doi.org/10.4064/aa250225-20-2",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W4362598772",
  "pdf_url": "https://www.impan.pl/shop/en/publication/transaction/download/product/116544?download.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": "Polish Academy of Sciences",
  "ris": "https://research.draconitic.com/paper/7fzbk6asyyy8e.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:00Z",
      "native_id": "W4362598772",
      "source": "openalex",
      "url": "https://doi.org/10.4064/aa250225-20-2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Analytic Number Theory Research",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Almost sure upper bound for random multiplicative functions",
  "title_text": "Almost sure upper bound for random multiplicative functions",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/7fzbk6asyyy8e",
  "venue": "Acta Arithmetica",
  "versions": []
}