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$\begingroup$ Maple claims that the first digits of q^(-5) after the decimal point are .99999365418746897, agreeing with your estimate of 6*10^{-6}. Also, if you enclose TeX code in dollar signs it appears as actual math, which makes notationally intensive answers like this one easier to read. $\endgroup$
– Michael Lugo
Commented Nov 12, 2009 at 16:58
2

$\begingroup$ This is very nice! $\endgroup$
– David E Speyer
Commented Nov 12, 2009 at 23:26
1

$\begingroup$ By the way, some theorems about the (weakly holomorphic) modular forms Alison mentions appear in Ken Ono's book "The Web of Modularity," section 2.3. The analogous families of modular forms in weight 1/2 and 3/2 are relevant to Borcherds products -- see sectons 4.2 and 4.3 in Ken's book. $\endgroup$
– JSE
Commented Nov 17, 2009 at 22:18

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