Zeta Functions
Riemann Zeta Function
compute exact values of the zeta function
zeta(12)
numerically evaluate zeta near a nontrivial zero
zeta(1/2 + 14.1347 i)
plot the zeta function on the critical line
plot zeta(1/2 + i*t)
find a series representations of the zeta function
series representation of zeta(s)
find a functional equation for the zeta function
functional equation for zeta(s)
Hurwitz Functions
analyze a series for the Hurwitz zeta function
series HurwitzZeta(s,a) at s=1
plot the Hurwitz Lerch transcendent
plot HurwitzLerchPhi(z,1,-1/2)
Riemann-Siegel Functions
plot the Riemann-Siegel functions
plot Riemann-Siegel Z(t) for 0<t<100
plot Riemann-Siegel theta(t) for 0<t<50
Other Zeta Functions
evaluate the prime zeta function
PrimeZetaP[2]
find integral representations of the Dirichlet eta function