{
  "abstract": "We study real zeros of completed modular L-functions and the determination of cusp forms by their periods. Using Chebyshev systems and the Riemann-Roch theorem, we obtain bounds for real zeros, counted with multiplicity, and rank estimates for evaluation maps in terms of the dimensions of cusp-form spaces and the genera of modular curves. These estimates give criteria for finite families of periods to determine a cusp form and yield explicit dual bases in cases where the relevant quotient curves have genus zero. We also bound the dimensions of rational spans of eigenform periods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02933",
  "author_total": 1,
  "authors": [
    {
      "name": "Wei Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ena895pm6za8b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02933",
  "fulltext_url": null,
  "id": "ena895pm6za8b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02933",
  "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.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02933",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ena895pm6za8b.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.02933",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02933"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Modular L-functions and Chebyshev systems",
  "title_text": "Modular L-functions and Chebyshev systems",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/ena895pm6za8b",
  "venue": "arXiv",
  "versions": []
}