{
  "as_of": "2026-09-05",
  "references": [
    {
      "title": "Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges",
      "authors": [
        "Kaisa Matomäki",
        "Maksym Radziwiłł",
        "Terence Tao"
      ],
      "venue": "Proceedings of the London Mathematical Society 118 (2019), 284-350",
      "doi": "10.1112/plms.12181",
      "role": "Shift averaging plus Plancherel; positive local minor-arc L2; Type d3/d4 analysis; 8/33 threshold"
    },
    {
      "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": "Zero density N(sigma,T)<=T^(30(1-sigma)/13+o(1)); modern large-value input"
    },
    {
      "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": "Quantitative almost-all short-interval PNT with arbitrary log-power accuracy; records Guth-Maynard improvement to exponent 2/15"
    },
    {
      "title": "On the number of exceptional intervals to the prime number theorem in short intervals",
      "authors": [
        "Ayla Gafni",
        "Terence Tao"
      ],
      "venue": "Essential Number Theory 5 (2026), 221-241",
      "doi": "10.2140/ent.2026.5.221",
      "role": "Quantitative zero-density to short-interval exceptional-set translation"
    }
  ]
}