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Zeta Functions & Polylogarithms
Mathematica supports zeta and polylogarithm functions of a complex variable in full generality, performing efficient arbitrary-precision evaluation and implementing extensive symbolic transformations.
Zeta Riemann and generalized Riemann zeta function
ZetaZero zeros of the zeta function on the critical line
    
PolyLog ordinary and Nielsen generalized polylogarithm function
LerchPhi Lerch function
    
HurwitzZeta, HurwitzLerchPhi functions with original Hurwitz analytic structure
    
PrimeZetaP prime zeta function
    
FunctionExpand expand out symbolic forms of functions
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