{
  "date": "2026-09-09",
  "sources": [
    {
      "name": "Leon Chou, Summer Haag, Jake Huryn, Andrew Ledoan — The error term in counting prime pairs",
      "url": "https://arxiv.org/abs/2308.14888",
      "role": "2026 JNT theorem: global prime-pair error lower bound in terms of Theta, RH implication of Prime Pair Error Conjecture, GRH-level upper calibration"
    },
    {
      "name": "Tomos Parry — Primes in arithmetic progressions on average I",
      "url": "https://doi.org/10.1112/blms.70387",
      "role": "2026 example of genuine power-saving sign cancellation from large modulus-family averaging"
    },
    {
      "name": "Sary Drappeau — Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method",
      "url": "https://doi.org/10.1112/plms.12022",
      "role": "power-saving dispersion calibration in prime times divisor-like problems"
    },
    {
      "name": "H. M. Bui, J. P. Keating, D. J. Smith — On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class",
      "url": "https://doi.org/10.1112/jlms/jdw030",
      "role": "variance / zero-pair-correlation equivalence calibration"
    }
  ]
}