"타원곡선"의 두 판 사이의 차이

2009년 10월 12일 (월) 18:16 판

\(y^2=4x^3-g_2(\tau)x-g_3\)

\(g_2(\tau) = 60G_4=60\sum_{ (m,n) \neq (0,0)} \frac{1}{(m+n\tau )^{4}}\)

\(g_3(\tau) = 140G_6=140\sum_{ (m,n) \neq (0,0)} \frac{1}{(m+n\tau )^{6}}\)

\(y^2=x^3-x\)

[/pages/2061314/attachments/2299029 MSP1975197gdf732cih44i50000361d01gd578fhc4a.gif]

\(y^2=4x^3-4x\)

\(2\omega=4\int_0^1\frac{dx}{\sqrt{1-x^4}}=B(1/2,1/4)=\frac{\Gamma(\frac{1}{2})\Gamma(\frac{1}{4})}{\Gamma(\frac{3}{4})}=5.24\cdots\)

@@ 92번째 줄: / 92번째 줄: @@
 * [http://www.jstor.org/stable/2974515 Elliptic Curves]<br>
 ** John Stillwell, <cite style="line-height: 2em;">The American Mathematical Monthly</cite>, Vol. 102, No. 9 (Nov., 1995), pp. 831-837
+* [http://www.jstor.org/stable/2687483 Three Fermat Trails to Elliptic Curves]<br>
+** Ezra Brown, <cite>The College Mathematics Journal</cite>, Vol. 31, No. 3 (May, 2000), pp. 162-172
+* http://www.jstor.org/action/doBasicSearch?Query=elliptic+curves
 * http://www.jstor.org/action/doBasicSearch?Query=