﻿ Calculation of Riemann's zeta function：ζ(s)

# Calculation of Riemann's zeta function：ζ(s)

 1 s(=a+ib) +i s≠1+i*0. |a|≦6,|b|≦50 for this page. 2 Graph Need no graph x-axis:a,y-axis：ζ(s). -6≦a≦-1 x-axis:a,y-axis：ζ(s). -1≦a≦1 x-axis:a,y-axis：ζ(s). 1≦a≦6 x-axis:b,y-axis：ζ(s). -50≦b≦-25 x-axis:b,y-axis：ζ(s). -25≦b≦0 x-axis:b,y-axis：ζ(s). 0≦b≦25 x-axis:b,y-axis：ζ(s). 25≦b≦50 Plot Input Data： YesNo 3 Number of gridlines of Graph x-axis, y-axis -
:Export Graph Image.

## Keyword

Riemann's zeta function

## Reference

[1]：Helmut Hasse：『Ein Summierungsverfahren für die Riemannsche ζ-Reihe』,Mathematische Zeitschrift, 1930, Volume 32, Number 1, pp.458-464
[2]：Linas Vepštas：『An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions』,Numerical Algorithms,2008,Volume 47, Number 3, pp.211-252
[3]：wikipedia：Riemann zeta function
[4]：wikipedia：Hurwitz zeta function

## Remarks

・ζ(s)：Riemann's zeta function
・ζ(s+q)：Hurwitz zeta function