{
  "date": "2026-09-09",
  "sources": [
    {
      "name": "Hugh L. Montgomery and K. Soundararajan, Primes in short intervals",
      "url": "https://arxiv.org/abs/math/0409258",
      "role": "modified singular series, exact R_2(H)=-H log H+A H+O(H^(1/2+eps)), and conjectural variance NH log(N/H)"
    },
    {
      "name": "Natalie Evans, Correlations of almost primes",
      "url": "https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/correlations-of-almost-primes/08F8E4E4C36F68ED6DDA373CCAF7A221",
      "role": "summary of averaged Hardy-Littlewood prime-pair L2 estimates; Mikawa and Matomaki-Radziwill-Tao almost-all shift ranges"
    },
    {
      "name": "Goldston-Montgomery / Languasco-Perelli-Zaccagnini pair-correlation calibration",
      "url": "https://doi.org/10.1016/j.jmaa.2012.04.058",
      "role": "equivalence between short-interval prime variance and zeta zero pair correlation under RH"
    }
  ]
}