unsolved problems

Following identities may be INCORRECT because their proofs are not known.

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$\int_{-\infty}^{\infty}\frac{4}{1+4t^2}\{\log{|\sum_{k=1}^{\infty}{\frac{(-1)^{k+1}}{k^{0.5+\sqrt{-1}t}}|}-\log{|1-2^{0.5-\sqrt{-1}t}|}\}dt=0$  (Riemann,Balazard)

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$\sum_{k=1}^{\infty}\frac{(28k^2-18k+3)(-64)^k }{k^5{{}_{2k}\mathrm{C}_k}^4{}_{3k}\mathrm{C}_k}} = -14\sum_{n=1}^{\infty}\frac{1}{n^3} $ (Zhi-Wei Sun)