zeta_symmetric( n , z )

The symmetric Riemann ξ-function of z in SageMath. Defined by

ξ(z)=z(z1)2Γ(z2)πz/2ζ(z)

Satisfies ξ(z)=ξ(1z).

Plot on the real axis:

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Series expansion about the origin:

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Special values:

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Related functions:   zeta

Function category: zeta functions sagemath-docs