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RamanujanTauTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/10.12.07.0002.01









  


  










Input Form





RamanujanTauTheta[z] == (-Log[2 Pi]) z - (I/2) Integrate[(1/(E^t t)) ((E^(t (-4 - I z)) - E^(I t (4 I + z)) - 2 I z + 2 I E^t z)/(-1 + E^t)), {t, 0, Infinity}] /; Abs[Im[z]] < 6










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





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