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# 32 Questions

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### Is there anything known about the value where the Euler and Hadamard products for $\zeta(s)$ are equal?

apr 16 '15 at 21:35 Agno 611
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### An infinite series that gives $f(s)=s$. How could it be explained more easily?

dec 27 '14 at 0:03 Agno 611
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### Is there anything known about the zeros of $\displaystyle \sum_{n=1}^{\infty} \left(\frac{1}{\rho_n^s} +\frac{1}{\overline{\rho_n}^s}\right)$?

aug 29 at 18:15 Agno 611

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### The zeros of $2\,\xi(s)-1$. Is there anything known about the curves they lie on?

apr 13 '14 at 21:46 Agno 611

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### Does the Euler product for the Dirichlet $\beta$-function converge for all $\Re(s)>\frac12$?

jun 16 '15 at 20:27 Agno 611
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### Are all complex zeros of ${\frac {\zeta \left( s+1 \right) }{\zeta \left( s-1 \right) }}\pm\, 2\,\pi\frac{2-s}{s\,(s+1)}$ on the critical line?

jun 9 '15 at 10:37 Agno 611
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### Equality between an infinite product and an infinite series. How can I reconcile both?

mar 21 '14 at 10:45 Agno 611

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### Infinite series with only two zeros at $\Re(s)=\frac12$. Why is that the case?

jan 9 '14 at 9:43 Agno 611

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### Structural differences between closed forms of two related infinite products?

nov 16 '13 at 16:17 Agno 611

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### A function that generates 'alternating' non-trivial zeros of $\zeta(s)$

apr 29 '13 at 11:04 Agno 611
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### Integral representations of $\zeta(s)$ using the floor/frac functions. How could this one be derived?

sep 11 at 21:39 Agno 611

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### Analytic continuation of the Dirichlet $\eta(s)$ series to $\Re(s) \gt -1$. Why does this work?

dec 29 '14 at 22:52 Agno 611
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80
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### Are the zeros of the sum/difference of two reflexive, entire functions all on the line $\Re(s)=\frac12$?

jan 19 '14 at 20:29 Agno 611
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### Is the absolute value of the intersection of two functions related to the nontrivial zeros always equal to $\sqrt{2}$?

feb 20 at 19:22 Agno 611

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### Do all complex zeros of $Li_s(z)\,- \, Li_{1-s}(z)$ get the shape $s=\dfrac12 + \dfrac{k \, \pi }{\,\ln(2)}\,i$ when $z \rightarrow 0^{-}$?

aug 19 '14 at 17:29 Agno 611

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