{
  "as_of": "2026-09-07",
  "references": [
    {
      "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": "Theorem 1.1 fixed-A logarithmic discorrelation; Lemma 3.2 W_Lambda=log^A X; Lemma 3.5 Type-II W^(-1/10) amplifier; proof of Theorem 3.1 uses W=log^(100A) X"
    },
    {
      "title": "Higher uniformity of arithmetic functions in short intervals I. All intervals",
      "authors": [
        "Kaisa Matomäki",
        "Xuancheng Shao",
        "Terence Tao",
        "Joni Teräväinen"
      ],
      "venue": "Forum of Mathematics, Pi 11 (2023), e29",
      "doi": "10.1017/fmp.2023.28",
      "role": "Lemma 3.9(ii)-(iii): fixed-A Möbius and prime Dirichlet-polynomial bounds from the classical zero-free region"
    },
    {
      "title": "New large value estimates for Dirichlet polynomials",
      "authors": [
        "Larry Guth",
        "James Maynard"
      ],
      "venue": "Annals of Mathematics 203 (2026), 623-675",
      "doi": "10.4007/annals.2026.203.2.6",
      "role": "Candidate averaged large-value technology for Campaign 39"
    }
  ]
}