{
  "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": "Lemma 3.5 Type-II mean-square target and large-T major-arc parameter geometry"
    },
    {
      "title": "254A, Notes 6: Large values of Dirichlet polynomials, zero density estimates, and primes in short intervals",
      "author": "Terence Tao",
      "year": 2015,
      "role": "Classical zero-detecting construction uses a short Möbius truncation multiplied by a smoothed zeta truncation rather than one dyadic Möbius block"
    },
    {
      "title": "Averages of the Möbius Function on Shifted Primes",
      "author": "Jared Duker Lichtman",
      "venue": "Quarterly Journal of Mathematics 73 (2022), 729-757",
      "role": "Quantitative averaged Chowla-type calibration with logarithmic savings"
    },
    {
      "title": "Logarithmic Chowla Correlations Across All Shift Scales",
      "author": "Jizhou Guo",
      "arxiv": "2608.23500v4",
      "date": "2026-09-01",
      "role": "Recent fixed power-logarithmic progress for logarithmically weighted Liouville two-point correlations; still not fixed X-power Cesaro control"
    }
  ]
}