zeta - Maple Help

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zeta

Description

 The names Ζ and ζ may refer to any of several distinct quantities or operations.
 • For the Riemann zeta function, see Zeta.
 • For the Jacobi zeta function, see JacobiZeta.
 • For the Weierstrass zeta function, see WeierstrassZeta.
 • For the Riemann zeta hypothesis, see Riemann hypothesis.

Examples

 > $\mathrm{\zeta }\left(2\right)$
 $\frac{{{\mathrm{\pi }}}^{{2}}}{{6}}$ (1)
 > $\mathrm{FunctionAdvisor}\left(\mathrm{definition},\mathrm{JacobiZeta}\right)$
 $\left[{\mathrm{JacobiZeta}}{}\left({z}{,}{k}\right){=}\frac{{\partial }}{{\partial }{z}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{\mathrm{ln}}{}\left({\mathrm{JacobiTheta4}}{}\left(\frac{{\mathrm{\pi }}{}{z}}{{2}{}{\mathrm{EllipticK}}{}\left({k}\right)}{,}{\mathrm{EllipticNome}}{}\left({k}\right)\right)\right){,}{\mathrm{with no restrictions on}}{}\left({z}{,}{k}\right)\right]$ (2)
 > $\mathrm{WeierstrassZeta}\left(1.0,2.0,3.0\right)$
 ${0.944344946052752}$ (3)

 See Also