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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??
Π
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

• References:
  • Exponent function question
    • From: Tuesday Shopping <tuesdayshopping@yahoo.com>
  • Re: Exponent function question
    • From: Sseziwa Mukasa <mukasa@jeol.com>