{
  "annotation_id": "a604f8e8-230e-48a1-ae5b-4b07c2f1ef02",
  "date_created": "2026-02-17T05:53:16.234000Z",
  "date_modified": "2026-02-17T05:53:16.234000Z",
  "file_hash": "7a999c4b9f47aa06d4b0057c545dd85525df33645b751732ae3d2be09175bdb9",
  "private": false,
  "record": {
    "abstract": "We confirm the Jamneshan-Tao conjecture for finite abelian groups of rank at most a fixed integer $R$ (i.e. finite abelian groups generated by at most $R$ elements), by proving an inverse theorem for 1-bounded functions of non-trivial Gowers norm on such groups, concluding that such a function must correlate non-trivially with a nilsequence of bounded complexity.",
    "arxiv_id": "2601.08810",
    "authors": [
      "Pablo Candela",
      "Diego Gonz\u00e1lez-S\u00e1nchez",
      "Bal\u00e1zs Szegedy"
    ],
    "categories": [
      "math.GR",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "The Jamneshan-Tao conjecture for finite abelian groups of bounded rank",
    "url": "https://arxiv.org/abs/2601.08810",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "452cdb7a-023c-48bb-bcc9-66ddbf29e4f0",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}