{
  "as_of": "2026-09-05",
  "references": [
    {
      "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 exponent 30/13; almost-all short interval threshold 2/15; explicit-formula L2 subpower estimate"
    },
    {
      "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",
      "arxiv": "2505.24017",
      "role": "Exceptional-set exponents from zero-density and zero additive energy; fixed relative-error tolerance framework"
    },
    {
      "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": "Current almost-all short-interval PNT and arbitrary log-power accuracy calibration"
    }
  ]
}