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Mathematics
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Agno
  • Member for 11 years, 9 months
  • Last seen more than a week ago
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26
Is there a pattern in the complex roots of the Sine Integral $\mathrm{Si}\left(\frac{z}{2}\right)$?
Feb 12, 2023
15
Are these known telescoping series for $\zeta\left(\frac12\right)$?
Dec 23, 2014
13
Is $\frac{1}{\pi}\int_{0}^{\infty} \Gamma(\sigma +xi)^2\,\Gamma(\sigma-xi)^2 \,dx = \frac{\Gamma(2\,\sigma)^4}{\Gamma(4\,\sigma)}$?
Jan 1, 2017
10
Do the roots of this function all reside on the line $\Re(s) = \frac12$?
Sep 27, 2023
9
An integer counting function n(x)
Aug 15, 2013
7
An integer counting function n(x)
Aug 16, 2013
7
Analytic continuation of the Dirichlet $\eta(s)$ series to $\Re(s) \gt -1$. Why does this work?
Dec 29, 2014
7
Does the Euler product for the Dirichlet $\beta$-function converge for all $\Re(s)>\frac12$?
Jun 16, 2015
7
How can this integral expression for the difference between two $\zeta(s)$s be explained?
Sep 26, 2016
6
The zeros of $2\,\xi(s)-1$. Is there anything known about the curves they lie on?
Apr 13, 2014
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54
Are all zeros of $\Gamma(s) \pm \Gamma(1-s)$ on a line with real part = $\frac12$ ?
26
Are the 'semi' trivial zeros of $\zeta(s) \pm \zeta(1-s)$ all on the critical line?
22
A closed form for an integral expressed as a finite series of $\zeta(2k+1)$, $\pi^m$ and a rational?
18
Could computing the next prime in a finite Euler product be made rigorous?
17
Does this infinite sum provide a new analytic continuation for $\zeta(s)$?