Elliptic Modular Function
- To: mathgroup at smc.vnet.net
- Subject: [mg94477] Elliptic Modular Function
- From: Artur <grafix at csl.pl>
- Date: Sun, 14 Dec 2008 07:39:32 -0500 (EST)
- References: <200812110844.DAA01122@smc.vnet.net> <200812121159.GAA28230@smc.vnet.net>
- Reply-to: grafix at csl.pl
Dear Mathematica Gurus, Who know how to do Table on Mathematica http://www.research.att.com/~njas/sequences/A000521 {1,744,196884,... probably we have to use KleinInvariantJ[] but I can do this, who can help? J(tau) defined j (Ï?) is Elliptic modular function. j (Ï?) is Elliptic modular function. j (Ï?) = E4(z)3 ---------- Î?(z) where E4(z) = 1 + 240 * â?? Σ n=1 s3(n) e2Ï?inz s3 (n) is the sum of the cube of the divisors of n, i.e., s3 (n) = Σ d3 d|n dâ?¥1 Î?(z) = q â?? Î n=1 ( 1 - qn) 24 where q = e 2Ï?iz see http://www.asahi-net.or.jp/~kc2h-msm/mathland/matha1/index.htm For any help I would like to thank on advance! Best wishes Artur
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