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Answer by Henri Cohen for Do the roots of this equation involving two Euler...
This problem (and more general ones) was solved completely andunconditionally (i.e., without any RH) by P.R. Taylorbefore the second world war, but I don't remember the reference,it should be easy to...
View ArticleAnswer by user90369 for Do the roots of this equation involving two Euler...
The equation doesn’t hold, because:$$\lim\limits_{s\downarrow 0} s\zeta(s+1)=1\ne\frac{\pi}{3}=\lim\limits_{s\downarrow 0} \frac{\zeta(2-s)2^s\pi^{s-1}\cos(\frac{\pi...
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Do the roots of this equation involving two Euler products all reside on the...
This question loosely builds on the second part of this one.Take the Riemann $\xi$-function: $\xi(s) =\frac12 s\,(s-1) \,\pi^{-\frac{s}{2}}\, \Gamma\left(\frac{s}{2}\right)\, \zeta(s)$. Numerical...
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