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RiemannSiegelTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RiemannSiegelTheta[z] > Specific values > Specialized values





http://functions.wolfram.com/10.03.03.0016.01









  


  










Input Form





RiemannSiegelTheta[(I (-4 p + q))/(2 q) - 2 I n] == (I/(2 q)) ((-q) Log[2] + n q ((-I) Pi + Log[2] + 2 Log[Pi q]) + 2 p Log[2 Pi] - q Log[Cos[(p Pi)/q] Gamma[(2 p)/q]] - q Sum[Log[(2 q k - q + 2 p) (q k - q + p)], {k, 1, n}]) /; Element[n, Integers] && n >= 0 && Element[p, Integers] && p > 0 && Element[q, Integers] && q > 0 && p < q










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