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Jul 24, 2012 at 18:15 comment added Malik Younsi @juan Yes, this works!
Jul 24, 2012 at 16:00 comment added juan Solving $\exp(-\pi/x)=0.78177$ gives us x=12.7606. The remaining portion is $12.76 <x <+\infty$. In this range the other argument I think will be relatively easy to implement. For these large values of $x$ we have $1-\vartheta_4(e^{-\pi x})=8.48 \cdot 10^{-17}$.
Jul 24, 2012 at 15:17 history answered Malik Younsi CC BY-SA 3.0