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

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

1s(=a+ib)+is≠1+i*0. |a|≦6,|b|≦50 for this page.
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Keyword・Reference・Remarks・History

LaTex

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
・Making Equation Image is powered by CODECOGS

History

・2010/12/26:Bug Fix, change of LaTex and modification of calculation process
・2010/12/24:Upload

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