think i have discovered an integral equation for the Xi-function(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \Xi (z)= A\int_{-\infty}^{\infty} \phi (x/2)\Xi(x).\Xi(x+z) \frac{dx}{x} [/tex]

with

[tex] \Phi(u) = \sum_{n=1}^{\infty}(2\pi ^{2} n^{4}e^{9u}-3\pi n^{2}e^{5u} )exp(-\pi n^{2}e^{4u}) [/tex]

and 'A' is a Real constant.

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# Integral equation for Xi-function

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