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.

ReferenceReference

Zeta Riemann and generalized Riemann zeta function

RiemannSiegelZ ▪ RiemannSiegelTheta ▪ StieltjesGamma

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

New to Mathematica? Find your learning path »
Have a question? Ask support »