{
  "abstract": "In this work, we determine the exact case error for recovering a Dirichlet coefficient from finitely many positive even samples with bounded additive errors. For sequences with a bounded tail and an unrestricted initial block, a polynomial estimator is minimax among all recovery maps. Its tail and noise constants admit explicit product formulas. We prove a sharp tail asymptotic on the index scale K^(3/2) and give a terminating procedure for selecting the sample count from a computable error bound.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24174",
  "author_total": 1,
  "authors": [
    {
      "name": "Payam Danesh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5qmwk2vnsb0n0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24174",
  "fulltext_url": null,
  "id": "5qmwk2vnsb0n0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24174",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "arxiv",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
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  ],
  "openalex": "W7222994700",
  "pdf_url": "https://arxiv.org/pdf/2610.24174",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5qmwk2vnsb0n0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24174",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24174"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "Recovering Dirichlet coefficients from even samples",
  "title_text": "Recovering Dirichlet coefficients from even samples",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:54Z",
  "url": "https://research.draconitic.com/paper/5qmwk2vnsb0n0",
  "venue": "arXiv",
  "versions": []
}