{
  "as_of": "2026-09-05",
  "references": [
    {
      "title": "On the mean values of the error terms in Mertens’ theorems",
      "author": "Tianyu Zhao",
      "venue": "Research in Number Theory 11, 62 (2025)",
      "doi": "10.1007/s40993-025-00640-y",
      "role": "Recalls dyadic PNT mean-square scale in terms of Theta_zeta."
    },
    {
      "title": "Exponential sums over primes",
      "authors": [
        "James Maynard",
        "Mayank Pandey",
        "Maksym Radziwill"
      ],
      "id": "arXiv:2608.14777",
      "date": "2026-08-14",
      "role": "Current pointwise prime exponential-sum bound; no fixed-power gain at q=1 core B=O(1)."
    },
    {
      "title": "On the connection between zero-free regions and the error term in the prime number theorem",
      "author": "Frederik Broucke",
      "venue": "Analysis Mathematica (2026)",
      "doi": "10.1007/s10476-026-00176-y",
      "role": "Current zero-free-region to PNT-error calibration."
    }
  ]
}