- #1

Karlisbad

- 131

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**A "real" number definition involving Bruijn-Newmann constant..**

Ok, ths isn't anything new, but i would like to discuss this possibility, taking into account the function:

[tex] \xi(1/2+iz)=A(\lambda)^{-1/2}\int_{-\infty}^{\infty}dxe^{(-\lambda)^{-1} B (x-z)^{2}}H(\lambda, x) [/tex]

then with the expression above we could study all the values of "lambda" so the Wiener-Hopf integral above involving a symmetryc tranlational Kernel has only real roots, or use it to prove that for `[tex] \lambda >0 [/tex] has always real roots so RH would be proved and Bruijn constant would be [tex] 6.10^{-9}<\Lambda <0 [/tex]:grumpy:

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