{
  "as_of": "2026-09-05",
  "references": [
    {
      "title": "Prime Numbers in Short Intervals and a Generalized Vaughan Identity",
      "author": "D. R. Heath-Brown",
      "year": 1982,
      "doi": "10.4153/CJM-1982-095-9",
      "role": "Original generalized Vaughan / Heath-Brown identity context."
    },
    {
      "title": "Variants of the Selberg sieve, and bounded intervals containing many primes",
      "author": "D. H. J. Polymath",
      "venue": "Algebra & Number Theory 8 (2014), no. 9",
      "role": "States a standard fixed-K Heath-Brown convolution identity."
    },
    {
      "title": "On a Mertens-type conjecture for number fields",
      "venue": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2025,
      "role": "Recalls the classical equivalence RH <=> M(x)=O(x^(1/2+epsilon)) for every epsilon>0, citing Titchmarsh."
    }
  ]
}