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RiemannSiegelTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RiemannSiegelTheta[z] > Series representations > Other series representations





http://functions.wolfram.com/10.03.06.0020.01









  


  










Input Form





RiemannSiegelTheta[z] == (1/8) (-4 z (1 + Log[4 Pi]) + (-I + 2 z) Log[1 - 2 I z] + (I + 2 z) Log[1 + 2 I z]) - (I/4) Sum[((k - 1) (Zeta[k, 5/4 + (I z)/2] - Zeta[k, 5/4 - (I z)/2]))/ (k (k + 1)), {k, 2, Infinity}]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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