|Feb28-12, 09:32 AM||#1|
what is the sum of the following series? I know it's convergent (using ratio test) but I'm not able to work it out :(
S=t^(-1) + t^(-4)+t^(-9)............t^(k^2)......to ∞
|Feb28-12, 05:09 PM||#2|
S = [θ3(1/t)-1]/2, where θ3 is a Jacobi theta function. I strongly suspect S is transcendental for integer t, but couldnt easily find a good reference, nor a convincing argument.
|Mar17-12, 03:23 AM||#3|
Im a maths tutor and this question was given to one of my students. i may be thinking about it to cryptically so i thought id post it
i have posted it to various other pupils but no one has gotten it yet.
|convergent, maths, power, series, sum|
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