# Zeta function (chart) Calculator

## Calculates a table of the Riemann zeta functions ζ(x) and ζ(x)-1 and draws the chart.

 initial value x [ increment repetition ]
 $\normal Zeta\ function\ \zeta(x)\\[10](1)\ \zeta(x)= {\large\sum_{\small n=1}^ {\small\infty}\frac{1}{n^x}}\hspace{30}x\ge 1,\hspace{20}\zeta(1)=\infty\\(2)\ \zeta(2n)={\large\frac{2^{2n-1}\pi^{2n}|B_{2n}|}{(2n)!}}\hspace{30}{\normal n=1,2,3,...}\\(3)\ \zeta(-n)={\large\frac{B_{n+1}}{n+1}}\hspace{30}{\normal n=2,3,4,...}\\(4)\ \zeta(x)={\large\prod_{\small p:prime}\frac{1}{1-p^{-x}}}\hspace{30}{\normal Euler\ product}\\\hspace{120}B_n:Bernoulli\ number\\$
Zeta function (chart)
 [1-4] /4 Disp-Num5103050100200
[1]  2014/09/17 21:32   Male / 60 years old level or over / An engineer / A little /
Purpose of use
I wanted to see the calculations and the result for the zeta function, after watching the Brady Haran video about -1/12
[2]  2014/07/17 09:19   Male / 50 years old level / A teacher / A researcher / Very /
Purpose of use
Needed to know a specific value for a calculation.
[3]  2014/05/18 03:58   Male / 40 years old level / A teacher / A researcher / Very /
Purpose of use
Calculating some values of Zeta in the critical strip
Comment/Request
Thanks a lot, I saved time and effort once I came to know your site. Just need to clarify, regarding value at numbers between 0 and 1, which formula are you using to calculate, I do believe it's the extension of zeta so the series is not involved! also, I would like if you can post Gamma calculator.
Best Regards for you prolific efforts.
[4]  2009/06/08 02:53   Male / 40 level / Others / Very /
Purpose of use
Checking my own algorithm to see if the answers it gives are accurate enough.
Comment/Request
Very fast and useful

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