{
  "abstract": "Sierra and Townsend (ST) [1] showed that the ``absorption spectrum'' model of Connes [2] arises as the lowest-Landau-level (LLL) limit of a charged particle in crossed electric and magnetic fields, and suggested that the higher Landau levels supply the fluctuation part of the Riemann-zero counting function $N(E)$. Within the approximation used by ST we construct the eigenfunctions of an arbitrary Landau level $n$ and derive their asymptotics at the two box boundaries that ST identify. The boundary condition is the same as for $n=0$ up to an $E$-independent phase $(-\\ii)^n$, so no $\\ln E$ term arises for any fixed $n$. We also note that the $\\ln E$ term in the semiclassical Eq.~(29) of ST is the first-order shift of the smooth LLL counting function, $E\\to E+γz^2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14108",
  "author_total": 4,
  "authors": [
    {
      "name": "Mi-Ra Hwang"
    },
    {
      "name": "Eylee Jung"
    },
    {
      "name": "MuSeong Kim"
    },
    {
      "name": "DaeKil Park"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6d5k3s6zstyzp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14108",
  "fulltext_url": null,
  "id": "6d5k3s6zstyzp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14108",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7221786656",
  "pdf_url": "https://arxiv.org/pdf/2610.14108",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6d5k3s6zstyzp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.14108",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14108"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Comment on \"Landau Levels and Riemann Zeros\"",
  "title_text": "Comment on \"Landau Levels and Riemann Zeros\"",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/6d5k3s6zstyzp",
  "venue": "arXiv",
  "versions": []
}