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3 | fixed a few typos | ||
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the Xi fucntion appear function appears as the funcitonal determiant functional determinant $ \frac{ \xi(s)}{\xi(0)}= \frac{det(H+s(s-1)+1/4)}{det(H+1/4)}$ of a certian certain Hamiltonian with the potential $ V^{-1}(x)= A \sqrt D n(x) $ with $ n(x) \pi = Arg\xi (1/2+ i \sqrt x) $ here 'n' plays the role of Eigenvalue staircase $ n(x)= \sum_{n=0}^{\infty}H(x-E_{n})$ and 'H(x)' is the Heaviside function. |
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2 | added 128 characters in body | ||
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the Xi fucntion appear as the funcitonal determiant $ \frac{ \xi(s)}{\xi(0)}= \frac{det(H+s(s-1)+1/4)}{det(H+1/4)}$ of a certian Hamiltonian with the potential $ V^{-1}(x)= A \sqrt D n(x) $ with $ N(xn(x) \pi = Arg\xi (1/2+ i \sqrt x) $ here 'n' plays the role of Eigenvalue staircase $ n(x)= \sum_{n=0}^{\infty}H(x-E_{n})$ and 'H(x)' is the Heaviside function. |
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the Xi fucntion appear as the funcitonal determiant $ \frac{ \xi(s)}{\xi(0)}= \frac{det(H+s(s-1)+1/4)}{det(H+1/4)}$ of a certian Hamiltonian with the potential $ V^{-1}(x)= A \sqrt D n(x) $ with $ N(x) \pi = Arg\xi (1/2+ i \sqrt x) $ |
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