- #1
Wizlem
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I was reading a book on the zeta function and came across this attributed to Jacobi. I have no idea where to find a source about this so maybe someone can give me some direction. Let
[tex]\psi(x) = {\sum}^{\infty}}_{n=1}e^{-n^2 \pi x}[/tex].
How do you show that
[tex]\frac{1+2\psi(x)}{1+2\psi(1/x)} = \frac{1}{\sqrt{x}}[/tex]
[tex]\psi(x) = {\sum}^{\infty}}_{n=1}e^{-n^2 \pi x}[/tex].
How do you show that
[tex]\frac{1+2\psi(x)}{1+2\psi(1/x)} = \frac{1}{\sqrt{x}}[/tex]