See zeta function on Wiktionary
{ "forms": [ { "form": "zeta functions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "zeta function (plural zeta functions)", "name": "en-noun" } ], "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": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Turkish translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Functions", "orig": "en:Functions", "parents": [ "Algebra", "Calculus", "Geometry", "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1." ], "hyponyms": [ { "word": "Airy zeta-function" }, { "word": "Arakawa–Kaneko zeta-function" }, { "word": "arithmetic zeta-function" }, { "word": "Artin–Mazur zeta-function" }, { "word": "Barnes zeta-function" }, { "word": "Beurling zeta-function" }, { "word": "Dedekind zeta-function" }, { "word": "double zeta-function" }, { "word": "Epstein zeta-function" }, { "word": "Euler-Riemann zeta-function" }, { "word": "Goss zeta-function" }, { "word": "Hasse–Weil zeta-function" }, { "word": "height zeta-function" }, { "word": "Hurwitz zeta-function" }, { "word": "Igusa zeta-function" }, { "word": "Ihara zeta-function" }, { "word": "Lefschetz zeta-function" }, { "word": "Lerch zeta-function" }, { "word": "L-function" }, { "word": "local zeta-function" }, { "word": "Matsumoto zeta-function" }, { "word": "Minakshisundaram–Pleijel zeta-function" }, { "word": "Mordell–Tornheim zeta-function" }, { "word": "Motivic zeta-function" }, { "word": "multiple zeta-function" }, { "word": "p-adic zeta-function" }, { "word": "prime zeta-function" }, { "word": "Riemann zeta-function" }, { "word": "Ruelle zeta-function" }, { "word": "Selberg zeta-function" }, { "word": "Shimizu L-function" }, { "word": "Shintani zeta-function" }, { "word": "subgroup zeta-function" }, { "word": "Witten zeta-function" } ], "id": "en-zeta_function-en-noun-AqA2N6Jg", "links": [ [ "mathematics", "mathematics" ], [ "function", "function" ], [ "complex variable", "complex variable" ], [ "infinite series", "infinite series" ], [ "real part", "real part" ] ], "raw_glosses": [ "(mathematics) function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1." ], "topics": [ "mathematics", "sciences" ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "function", "word": "zeeta-funktio" }, { "code": "de", "lang": "German", "sense": "function", "tags": [ "feminine" ], "word": "ζ-Funktion" }, { "code": "tr", "lang": "Turkish", "sense": "function", "word": "zeta-fonksiyonu" } ] } ], "word": "zeta function" }
{ "forms": [ { "form": "zeta functions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "zeta function (plural zeta functions)", "name": "en-noun" } ], "hyponyms": [ { "word": "Airy zeta-function" }, { "word": "Arakawa–Kaneko zeta-function" }, { "word": "arithmetic zeta-function" }, { "word": "Artin–Mazur zeta-function" }, { "word": "Barnes zeta-function" }, { "word": "Beurling zeta-function" }, { "word": "Dedekind zeta-function" }, { "word": "double zeta-function" }, { "word": "Epstein zeta-function" }, { "word": "Euler-Riemann zeta-function" }, { "word": "Goss zeta-function" }, { "word": "Hasse–Weil zeta-function" }, { "word": "height zeta-function" }, { "word": "Hurwitz zeta-function" }, { "word": "Igusa zeta-function" }, { "word": "Ihara zeta-function" }, { "word": "Lefschetz zeta-function" }, { "word": "Lerch zeta-function" }, { "word": "L-function" }, { "word": "local zeta-function" }, { "word": "Matsumoto zeta-function" }, { "word": "Minakshisundaram–Pleijel zeta-function" }, { "word": "Mordell–Tornheim zeta-function" }, { "word": "Motivic zeta-function" }, { "word": "multiple zeta-function" }, { "word": "p-adic zeta-function" }, { "word": "prime zeta-function" }, { "word": "Riemann zeta-function" }, { "word": "Ruelle zeta-function" }, { "word": "Selberg zeta-function" }, { "word": "Shimizu L-function" }, { "word": "Shintani zeta-function" }, { "word": "subgroup zeta-function" }, { "word": "Witten zeta-function" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Finnish translations", "Terms with German translations", "Terms with Turkish translations", "en:Functions", "en:Mathematics" ], "glosses": [ "function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1." ], "links": [ [ "mathematics", "mathematics" ], [ "function", "function" ], [ "complex variable", "complex variable" ], [ "infinite series", "infinite series" ], [ "real part", "real part" ] ], "raw_glosses": [ "(mathematics) function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1." ], "topics": [ "mathematics", "sciences" ] } ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "function", "word": "zeeta-funktio" }, { "code": "de", "lang": "German", "sense": "function", "tags": [ "feminine" ], "word": "ζ-Funktion" }, { "code": "tr", "lang": "Turkish", "sense": "function", "word": "zeta-fonksiyonu" } ], "word": "zeta function" }
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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 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.
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