| rdfs:label |
"Euler function"@en
|
|
skos:alt |
"Funcion de Euler"@es
|
| schema:description |
"the mathematical function ∏ₖ₌₁^∞ (1−𝑞ᵏ)"@en
|
|
schema:date |
"2024-10-09T08:32:26+00:00"^^xsd:dateTime |
| schema:version | 2258155241 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 12 |
| wikibase:statements | 10 |
| p:P138 | wd:statement/q2723749-93D0E48D-FB03-477E-A739-749C5EDC466D |
| p:P18 | wd:statement/Q2723749-99f15ad3-4175-c89a-2345-ad6682618280 |
| p:P1889 | wd:statement/Q2723749-f67f840a-49f1-547f-bb42-9a3f17d239be |
| p:P2534 | wd:statement/Q2723749-9756b87e-4fc4-2031-72b6-15d04fc315d9 |
| p:P31 | wd:statement/Q2723749-10738c56-42fa-2358-86c4-7d88b2a60d71 |
| p:P6366 | wd:statement/Q2723749-399CA056-E47E-4C8F-846A-94039D77C5E2 |
| p:P646 | wd:statement/Q2723749-92FD0992-81DB-413C-BCE8-FB9C5483805A |
| p:P7235 | wd:statement/Q2723749-068966de-4cdd-f224-db42-9320ca655dc3 |
| wd:statement/Q2723749-3f71e0e6-4ba3-c552-142a-4a91f6d8aaea | |
| wd:statement/Q2723749-569e638c-4645-7e18-1efa-dec6eb27e076 | |
|
p:direct- |
<https:/ |
| wdt:P138 | Leonhard Euler |
| wdt:P18 |
<http:/ |
| wdt:P1889 | Euler's totient function |
| 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>ϕ</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">∏</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">−</mo><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mi>q</mi><mo>;</mo><mi>q</mi><msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub><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"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mi>p</mi><mo stretchy="false">(</mo><mi>k</mi><mo stretchy="false">)</mo><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | holomorphic function |
| wdt:P6366 | "51524170" |
| wdt:P646 | "/m/073jvh" |
| wdt:P7235 | "<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>ϕ</mi></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>p</mi></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"><mo stretchy="false">(</mo><mspace width="0.5em"></mspace><mo>;</mo><mspace width="0.5em"></mspace><msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
Download as: