j-invariant (Q1995): Difference between revisions

@@ Property / Freebase ID @@
+/m/02b6jr
@@ Property / Freebase ID: /m/02b6jr / rank @@
+Normal rank
@@ Property / Freebase ID: /m/02b6jr / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
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After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / defining formula @@
+ $j (τ) = \frac{{(12 \sum_{(m, n) \neq (0, 0)} (m + n τ)^{- 4})}^{3}}{{(\sum_{(m, n) \neq (0, 0)} (m + n τ)^{- 4})}^{3} - \frac{1}{5} {(\frac{7}{2} \sum_{(m, n) \neq (0, 0)} (m + n τ)^{- 6})}^{2}}$ 
j(\tau)=\frac{\left(12\sum_{(m,n)\ne(0,0)}(m+n\tau)^{-4}\right)^3}{\left(\sum_{(m,n)\ne(0,0)}(m+n\tau)^{-4}\right)^3-\frac15\left(\frac72\sum_{(m,n)\ne(0,0)}(m+n\tau)^{-6}\right)^2}
+Normal rank
@@ Property / MathWorld ID @@
+j-Function
@@ Property / MathWorld ID: j-Function / rank @@
+Normal rank
@@ Property / MathWorld ID: j-Function / reference @@
+imported from Wikimedia project: German Wikipedia
@@ Property / instance of @@
+modular form
@@ Property / instance of: modular form / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+7514240
@@ Property / Microsoft Academic ID: 7514240 / rank @@
+Normal rank
@@ Property / nLab ID @@
+j-invariant
@@ Property / nLab ID: j-invariant / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $j$ 
j
@@ Property / in defining formula: $j$ / rank @@
+Normal rank
@@ Property / in defining formula: $j$ / qualifier @@
+symbol represents: j-invariant
@@ Property / definition domain @@
+upper half-plane
@@ Property / definition domain: upper half-plane / rank @@
+Normal rank
@@ Property / image @@
+KleinInvariantJ.jpg
@@ Property / image: KleinInvariantJ.jpg / rank @@
+Normal rank
@@ Property / image @@
+J-inv-real.jpeg
@@ Property / image: J-inv-real.jpeg / rank @@
+Normal rank
@@ Property / image @@
+J-inv-phase.jpeg
@@ Property / image: J-inv-phase.jpeg / rank @@
+Normal rank

Latest revision as of 15:18, 29 July 2024

modular function of weight zero defined on the upper half-plane of complex numbers

modular j-invariant
J-invariant function

Language	Label	Description	Also known as
default for all languages	No label defined
English	j-invariant	modular function of weight zero defined on the upper half-plane of complex numbers	modular j-invariant J-invariant function