j-invariant
modular function of weight zero defined on the upper half-plane of complex numbers
| rdfs:label |
"j-invariant"@en
|
|
skos:alt |
"j-invariant function"@en
"modular j-invariant"@en
|
| schema:description |
"modular function of weight zero defined on the upper half-plane of complex numbers"@en
|
|
schema:date |
"2026-10-02T13:56:29+00:00"^^xsd:dateTime |
| schema:version | 2552181459 |
| wikibase:identifiers | 4 |
| wikibase:sitelinks | 13 |
| wikibase:statements | 13 |
| p:P1568 | wd:statement/Q287419-b38f3417-4056-5187-0e42-008f0f2d1521 |
| p:P18 | wd:statement/Q287419-75c4f4f3-4c69-cc35-c35b-fc26b7c36759 |
| wd:statement/Q287419-99994b6f-4d0b-abb2-552c-c3000c7a42d3 | |
| wd:statement/Q287419-b7ec1512-4189-567b-8528-5e62a670cff4 | |
| p:P2534 | wd:statement/Q287419-7A85BAAF-92CF-4BFF-B107-7185F48CC4BE |
| p:P2812 | wd:statement/Q287419-B815CA39-3733-47C9-AA5E-DC426C816E48 |
| p:P31 | wd:statement/Q287419-7a5e9733-4cc7-742f-bbed-fe8a2ae3bbfe |
| wd:statement/Q287419-91008232-4c09-ec45-5450-bbfd99130c3a | |
| p:P4215 | wd:statement/Q287419-7FEDAE30-B66B-4712-A127-33FF34511373 |
| p:P6104 | wd:statement/Q287419-823487CC-1643-47D3-8527-ACACD9540EAD |
| p:P6366 | wd:statement/Q287419-09B3CD4F-3160-4164-B8DF-FBE85C2880EC |
| p:P646 | wd:statement/Q287419-1FB5EA86-92CE-4E7D-80EB-EC0CF1D18918 |
| p:P7235 | wd:statement/Q287419-2886dbbf-4f15-04d2-2bc9-3b63d2980f5e |
|
p:direct- |
<https:/ |
| wdt:P1568 | upper half-plane |
| wdt:P18 |
<http:/ |
|
<http:/ |
|
|
<http:/ |
|
| 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>j</mi><mo stretchy="false">(</mo><mi>τ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mn>2</mn><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">≠</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></munder><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">+</mo><mi>n</mi><mi>τ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">≠</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></munder><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">+</mo><mi>n</mi><mi>τ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>4</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">≠</mo><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></munder><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">+</mo><mi>n</mi><mi>τ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>6</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2812 | "j-Function" |
| wdt:P31 | mathematical concept |
| modular form | |
| wdt:P4215 | "j-invariant" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "7514240" |
| wdt:P646 | "/m/02b6jr" |
| 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>j</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
Download as: