{
  "as_of": "2026-09-06",
  "references": [
    {
      "title": "Prime numbers in logarithmic intervals",
      "authors": [
        "D. Bazzanella",
        "A. Languasco",
        "A. Zaccagnini"
      ],
      "venue": "Transactions of the American Mathematical Society 362 (2010), 2667-2684",
      "doi": "10.1090/S0002-9947-09-05009-0",
      "role": "Gallagher/Klimov raw moment polynomial; uncentered fourth-moment H^4 scale"
    },
    {
      "title": "Higher uniformity of arithmetic functions in short intervals II. Almost all intervals",
      "authors": [
        "Kaisa Matomäki",
        "Maksym Radziwiłł",
        "Xuancheng Shao",
        "Terence Tao",
        "Joni Teräväinen"
      ],
      "venue": "Inventiones Mathematicae 244 (2026), 967-1091",
      "doi": "10.1007/s00222-026-01408-6",
      "role": "Short-interval Gowers uniformity and one-variable averaged Hardy-Littlewood; Lambda precision remains log/subpower"
    },
    {
      "title": "Primes in short intervals",
      "authors": [
        "Hugh L. Montgomery",
        "K. Soundararajan"
      ],
      "venue": "Communications in Mathematical Physics 252 (2004), 589-617",
      "doi": "10.1007/s00220-004-1222-4",
      "role": "Conditional/conjectural centered Gaussian fourth-moment calibration"
    },
    {
      "title": "Higher moments of primes in short intervals I",
      "author": "Tsz Ho Chan",
      "arxiv": "math/0409530",
      "role": "Higher even moment equivalence under RH; strength calibration"
    }
  ]
}
