{
  "as_of": "2026-09-05",
  "references": [
    {
      "title": "An averaged form of Chowla's conjecture",
      "authors": [
        "Kaisa Matomäki",
        "Maksym Radziwiłł",
        "Terence Tao"
      ],
      "arxiv": "1503.05121",
      "role": "Averaged-shift Chowla cancellation; quantitative decay roughly logarithmic."
    },
    {
      "title": "Higher uniformity of bounded multiplicative functions in short intervals on average",
      "authors": [
        "Kaisa Matomäki",
        "Maksym Radziwiłł",
        "Terence Tao",
        "Joni Teräväinen",
        "Tamar Ziegler"
      ],
      "venue": "Annals of Mathematics 197 (2023), 739-857",
      "doi": "10.4007/annals.2023.197.2.3",
      "role": "Higher short-interval uniformity and averaged Chowla consequences."
    },
    {
      "title": "The Chowla conjecture and Landau-Siegel zeroes",
      "venue": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "role": "2025/2026 status calibration: ordinary fixed-shift Chowla remains open."
    },
    {
      "title": "Multiple sums with the Möbius function",
      "authors": [
        "William D. Banks",
        "Igor E. Shparlinski"
      ],
      "venue": "The Quarterly Journal of Mathematics 77 (2026), 109-127",
      "doi": "10.1093/qmath/haaf049",
      "role": "Current multi-variable Möbius-sum progress; binary analogues remain difficult in their setting."
    }
  ]
}