zeta_symmetric( n , z )
The symmetric Riemann ξ-function of z in SageMath. Defined by
\[ \xi (z) = \frac{ z(z-1) }{ 2 } \Gamma \left( \frac{ z }{ 2 } \right) \pi^{ -z/2 } \zeta (z) \]Satisfies \( \xi (z) = \xi (1-z) \).
Plot on the real axis:
Series expansion about the origin:
Special values:
Related functions: zeta
Function category: zeta functions sagemath-docs