{
  "abstract": "In this paper, we study the Hecke eigenvalues of Ikeda lifts. Using the spherical map for the Hecke algebra of the symplectic group, we obtain an explicit formula for the eigenvalues $λ_F(p^r)$. From this formula, we show that $λ_F(p^r)$ can be written as a polynomial in $p^{\\pm 1/2}$ with a positive leading term. Furthermore, we prove that the coefficients of this polynomial are bounded and, as a consequence, the Hecke eigenvalues $λ_F(p^r)$ are positive for all sufficiently large primes $p$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.16083",
  "author_total": 2,
  "authors": [
    {
      "name": "Nagarjuna Chary Addanki"
    },
    {
      "name": "Ameya Pitale"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8t37mrj0j6dn3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.16083",
  "fulltext_url": null,
  "id": "8t37mrj0j6dn3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.16083",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7161586342",
  "pdf_url": "https://arxiv.org/pdf/2605.16083",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8t37mrj0j6dn3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2605.16083",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.16083"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Hecke Eigenvalues of Ikeda Lifts",
  "title_text": "Hecke Eigenvalues of Ikeda Lifts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/8t37mrj0j6dn3",
  "venue": "arXiv",
  "versions": []
}