{
  "as_of": "2026-09-05",
  "sources": [
    {
      "title": "Exponential sums over primes",
      "authors": [
        "James Maynard",
        "Mayank Pandey",
        "Maksym Radziwill"
      ],
      "id": "arXiv:2608.14777",
      "date": "2026-08-14",
      "used_for": "N/B^(1/2)+N^(19/24) current prime exponential-sum input"
    },
    {
      "title": "New large value estimates for Dirichlet polynomials",
      "authors": [
        "Larry Guth",
        "James Maynard"
      ],
      "venue": "Annals of Mathematics 203 (2026), 623-675",
      "doi": "10.4007/annals.2026.203.2.6",
      "used_for": "zeta zero-density exponent 30/13"
    },
    {
      "title": "Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet L-Functions",
      "authors": [
        "Bin Chen",
        "Vishal Gupta",
        "Yung Chi Li"
      ],
      "id": "arXiv:2507.08296v2",
      "revised": "2026-07-27",
      "used_for": "Dirichlet-character zero-density exponent 7/3"
    },
    {
      "title": "Zero-free regions inspired by work of Heath-Brown",
      "authors": [
        "Chiara Bellotti",
        "Tim Trudgian",
        "Andrew Yang"
      ],
      "id": "arXiv:2603.21490",
      "date": "2026-03-23",
      "used_for": "explicit 1/(4.896 log t) zero-free region"
    },
    {
      "title": "Explicit Deuring-Heilbronn phenomenon for Dirichlet L-functions",
      "authors": [
        "Kubra Benli",
        "Shivani Goel",
        "Henry Twiss",
        "Asif Zaman"
      ],
      "id": "arXiv:2410.06082v3",
      "revised": "2026-01-08",
      "used_for": "scope of explicit Deuring-Heilbronn repulsion"
    }
  ]
}