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RamanujanTauTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Complex characteristics > Real part





http://functions.wolfram.com/10.12.19.0001.01









  


  










Input Form





Re[RamanujanTauTheta[x + I y]] == (-EulerGamma) x - (1/2) ArcTan[6 - y, x] + (1/2) ArcTan[6 + y, -x] - x Log[2 Pi] + (1/2) Sum[(2 x)/k - ArcTan[(6 + k - y)/k, x/k] + ArcTan[(6 + k + y)/k, -(x/k)], {k, 1, 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)





2007-05-02