@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q7359380 rdfs:label "Identitats de Rogers-Ramanujan"@ca,
        "Rogers–Ramanujan-identiteter"@da,
        "Rogers-Ramanujan-Identitäten"@de,
        "Rogers–Ramanujan identities"@en,
        "identidades de Rogers-Ramanujan"@es,
        "Rogers–Ramanujan identitateak"@eu,
        "همانیهای روجرز - رامانوجان"@fa,
        "identités de Rogers-Ramanujan"@fr,
        "ロジャース・ラマヌジャン恒等式"@ja,
        "Identidades de Rogers-Ramanujan"@pt,
        "Identidades de Rogers-Ramanujan"@pt-br,
        "Rogers–Ramanujan-identiteterna"@sv,
        "Тотожність Роджерса — Рамануджана"@uk,
        "羅傑斯-拉馬努金恆等式"@zh ;
    schema1:dateModified "2026-08-18T14:12:49+00:00"^^xsd:dateTime ;
    schema1:description "identitats matemàtiques"@ca,
        "Gleichheit zweier unendlicher Reihen"@de,
        "Mathematical identities related to basic hypergeometric series"@en,
        "Identidades matemáticas relacionadas con las series hipergeométricas básicas"@es ;
    schema1:version 2532766679 ;
    wikibase:identifiers 5 ;
    wikibase:sitelinks 9 ;
    wikibase:statements 12 ;
    skos:altLabel "ロジャーズ・ラマヌジャン恒等式"@ja ;
    p:P10565 wds:Q7359380-5BCFAD12-30F1-4EA0-9D7A-5EEBD72958DC ;
    p:P1269 wds:Q7359380-1f016775-4bee-b233-2e18-9c0931efb843 ;
    p:P138 wds:Q7359380-2d12ee6b-44ce-74d3-5c53-9f3a56af66ba,
        wds:Q7359380-d5031478-461d-c891-a6cf-b0d2e109e20f ;
    p:P14541 wds:Q7359380-DED98EBE-3AA7-43EB-86BF-EF710FA44AD8 ;
    p:P2534 wds:Q7359380-8cc40f0d-46db-5180-4810-8e8b9d043328,
        wds:Q7359380-f02bae0a-402b-d1d1-f886-731ffbde0301 ;
    p:P2812 wds:Q7359380-4B5EA357-30D7-47A3-8FD6-DCBB2C44592C ;
    p:P31 wds:Q7359380-9eb501a0-43f3-f9f0-8dcf-71f750a0ed6c ;
    p:P6104 wds:Q7359380-C97BD4B7-0C3C-41F4-B86F-C1314169C3E1 ;
    p:P6366 wds:Q7359380-CBCE95B2-AC30-4F1B-8894-D183A4860333 ;
    p:P646 wds:Q7359380-43A9E05E-1971-4054-ACEA-E2928EACB1CF ;
    wdtn:P6366 <https://makg.org/entity/191834802> ;
    wdt:P10565 "57137" ;
    wdt:P1269 wd:Q1434658 ;
    wdt:P138 wd:Q6525430,
        wd:Q83163 ;
    wdt:P14541 "2AhGvw" ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>G</mi><mo stretchy=\"false\">(</mo><mi>q</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><msup><mi>n</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup></mrow></msup></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>q</mi><mo>;</mo><mi>q</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>q</mi><mo>;</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>5</mn></mrow></msup><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></msub><mo stretchy=\"false\">(</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>4</mn></mrow></msup><mo>;</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>5</mn></mrow></msup><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy=\"false\">=</mo><mn>1</mn><mo stretchy=\"false\">+</mo><mi>q</mi><mo stretchy=\"false\">+</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">+</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>3</mn></mrow></msup><mo stretchy=\"false\">+</mo><mn>2</mn><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>4</mn></mrow></msup><mo stretchy=\"false\">+</mo><mn>2</mn><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>5</mn></mrow></msup><mo stretchy=\"false\">+</mo><mn>3</mn><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>6</mn></mrow></msup><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">&#x22EF;</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>H</mi><mo stretchy=\"false\">(</mo><mi>q</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msup><mi>n</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">+</mo><mi>n</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>q</mi><mo>;</mo><mi>q</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo>;</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>5</mn></mrow></msup><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></msub><mo stretchy=\"false\">(</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>3</mn></mrow></msup><mo>;</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>5</mn></mrow></msup><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy=\"false\">=</mo><mn>1</mn><mo stretchy=\"false\">+</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><mo stretchy=\"false\">+</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>3</mn></mrow></msup><mo stretchy=\"false\">+</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>4</mn></mrow></msup><mo stretchy=\"false\">+</mo><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>5</mn></mrow></msup><mo stretchy=\"false\">+</mo><mn>2</mn><msup><mi>q</mi><mrow data-mjx-texclass=\"ORD\"><mn>6</mn></mrow></msup><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">&#x22EF;</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "Rogers-RamanujanIdentities" ;
    wdt:P31 wd:Q65943 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "191834802" ;
    wdt:P646 "/m/073wyw" .