"Siegel zero" meaning in All languages combined

See Siegel zero on Wiktionary

Noun [English]

Forms: Siegel zeros [plural]
Etymology: Named after Carl Ludwig Siegel. Head templates: {{en-noun}} Siegel zero (plural Siegel zeros)
  1. (mathematics) A type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-function. Categories (topical): Mathematics Synonyms: exceptional zero, Landau-Siegel zero
    Sense id: en-Siegel_zero-en-noun-dYeYgAIZ Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Carl Ludwig Siegel.",
  "forms": [
    {
      "form": "Siegel zeros",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "Siegel zero (plural Siegel zeros)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-function."
      ],
      "id": "en-Siegel_zero-en-noun-dYeYgAIZ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "potential",
          "potential"
        ],
        [
          "counterexample",
          "counterexample"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-function."
      ],
      "synonyms": [
        {
          "word": "exceptional zero"
        },
        {
          "word": "Landau-Siegel zero"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Siegel zero"
}
{
  "etymology_text": "Named after Carl Ludwig Siegel.",
  "forms": [
    {
      "form": "Siegel zeros",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Siegel zero (plural Siegel zeros)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-function."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "potential",
          "potential"
        ],
        [
          "counterexample",
          "counterexample"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-function."
      ],
      "synonyms": [
        {
          "word": "exceptional zero"
        },
        {
          "word": "Landau-Siegel zero"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Siegel zero"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-18 from the enwiktionary dump dated 2025-01-01 using wiktextract (e4a2c88 and 4230888). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.