{
  "as_of": "2026-09-07",
  "references": [
    {
      "title": "Pretentious multiplicative functions and an inequality for the zeta-function",
      "authors": ["Andrew Granville", "Kannan Soundararajan"],
      "arxiv": "math/0608407",
      "role": "standard prime-harmonic pretentious-distance framework"
    },
    {
      "title": "A new proof of Halasz's Theorem, and its consequences",
      "authors": ["Andrew Granville", "Adam J. Harper", "Kannan Soundararajan"],
      "arxiv": "1706.03749",
      "role": "calibrates pretentious-distance mean-value mechanisms"
    },
    {
      "title": "The logarithmically averaged Chowla and Elliott conjectures for two-point correlations",
      "author": "Terence Tao",
      "arxiv": "1509.05422",
      "role": "logarithmically averaged two-point affine Liouville cancellation"
    },
    {
      "title": "The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures",
      "authors": ["Terence Tao", "Joni Teravainen"],
      "arxiv": "1708.02610",
      "role": "includes logarithmically averaged odd-order Chowla results; not a direct four-form single-scale fixed-power theorem"
    },
    {
      "title": "Quantitative Logarithmic Chowla Correlations Uniformly over Growing Shifts",
      "author": "Jizhou Guo",
      "arxiv": "2608.23500",
      "date": "2026-08-24",
      "role": "quantitative logarithmically weighted two-point cancellation for polylogarithmically growing shifts"
    }
  ]
}