NOVEL THINKING

[1]  2020/10/21 08:08   Male / 20 years old level / High-school/ University/ Grad student / Very /, [2]  2020/09/02 20:10   Male / 20 years old level / High-school/ University/ Grad student / Very /, [3]  2020/07/05 00:32   Male / 20 years old level / High-school/ University/ Grad student / Useful /, [4]  2020/07/01 07:40   Male / Under 20 years old / High-school/ University/ Grad student / Very /, [5]  2020/04/21 23:41   Male / 50 years old level / An engineer / Very /, [6]  2020/04/08 12:19   Male / 40 years old level / An engineer / Very /, [7]  2020/04/02 20:16   Male / 50 years old level / An engineer / Very /, [8]  2020/03/10 02:22   Male / 60 years old level or over / An engineer / Very /, [9]  2020/03/09 18:39   Male / 50 years old level / High-school/ University/ Grad student / Useful /, [10]  2020/03/03 02:01   Male / Under 20 years old / High-school/ University/ Grad student / Very /. Why thin metal foil does not break like a metal stick? Correct, it does not converge for s=-2, so I provided the Abel-Plana representation as well.

On the Number of Primes Less Than A Given Magnitude, https://drive.google.com/file/d/1rlVFyv_xsyN_vFm6m0teukCRn2nFYSsV/view?usp=sharing, https://drive.google.com/open?id=1OK9Y2w11vRS_q5o0EJV7MlLMbu512yhJ, https://drive.google.com/open?id=1578zRA0-MUitpupFtlXm5aMbcRNc5RwX, https://drive.google.com/open?id=13CLcA8at9JoHQJw7lo0sPNucCcAabtJ2, https://drive.google.com/open?id=18jgeJg_8fa1ka4AxoC5Ek-AKdz7ZxW0i, https://www.youtube.com/watch?v=sD0NjbwqlYw, https://www.youtube.com/watch?v=way0jAWpjZA, https://medium.com/@JorgenVeisdal/the-riemann-hypothesis-explained-fa01c1f75d3f, http://www.claymath.org/millennium-problems/riemann-hypothesis, http://www.claymath.org/sites/default/files/ezeta.pdf, https://thatsmaths.com/2014/02/27/the-prime-number-theorem/, http://www.mathpages.com/home/kmath649/kmath649.htm, https://www.colorado.edu/amath/sites/default/files/attached-files/pade_analytic_continuation.pdf, http://www.dtc.umn.edu/~odlyzko/zeta_tables/, There are zeros up the line $\Re(z) = \frac{1}{2}$. The first representation is most similar to where jamie began.

The Riemann zeta function or Euler–Riemann zeta function, ζ(s), is a function of a complex variable s that analytically continues the sum of the Dirichlet series = ∑ = ∞,which converges when the real part of s is greater than 1. Euler Riemann hypothesis zeta function calculator helps to calculate the zeta function value of an argument.

Riemann Zeta Function Calculator Riemann Zeta Function Calculator.Please input a number between -501 and 501 and hit the Calculate! Likewise, larger values are much faster. Analytic continuation to $s \neq 1$ requires only the Poisson summation formula, not really complex analysis either. $$\sum_{n=1}^{infinity} (-1)^{1-n}/(n^s(1-2^{1-s}))=\zeta(s), Re(s)>0,$$, $$\zeta(s)=1/(s-1)+1/2+2\int_0^{infinity} sin(s* arctan(t))/((e^{2 \pi t }-1) (1+t^2)^{s/2}) dt$$, This does not provide an answer to the question. @vnp I understand that there are some optimizations to the algorithm I am using to calculate the Riemann Zeta function, however these use higher-level calculus that is difficult to implement in C++. Instead, write a function that does exactly what you want: check whether your value is close to your previous: which clearly states what we're checking: the difference between the previous computation, and the following one. This gives even the idea, that the spiralling may be defeated! One of several strokes of genius that Riemann had was to resolve that puzzle above.

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