{
  "annotation_id": "a5669acd-7645-475d-b47e-8fd8d6089a9e",
  "date_created": "2026-02-17T05:53:23.357000Z",
  "date_modified": "2026-02-17T05:53:23.357000Z",
  "file_hash": "5dea421e2ffd895230fedf8d1e703384abaac7109e7b58c020565b1a5b6fed0b",
  "private": false,
  "record": {
    "abstract": "Waring\u0027s problem has a long history in additive number theory. In its original form it deals with the representability of every positive integer as sum of $k$-th powers with integer $k$. Instead of these powers we deal with pseudo-polynomials in this paper. A pseudo-polynomial is a ``polynomial\u0027\u0027 with at least one exponent not being an integer.\n  Our work extends earlier results on the related problem of Waring for arbitrary real powers $k\u003e12$ by Deshouillers and Arkhipov and Zhitkov.",
    "arxiv_id": "2601.10351",
    "authors": [
      "Manfred G. Madritsch"
    ],
    "categories": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Waring\u0027s problem for pseudo-polynomials",
    "url": "https://arxiv.org/abs/2601.10351",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "895d82fa-3eb9-4049-b132-9cda5e4085de",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}