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FLINT`Zeta

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description

FLINT`Zeta[s] gives the numeric value of the Riemann zeta function at the numeric argument s (real or complex), computed to the precision of s (machine precision for exact s) via FLINT's rigorous acb arithmetic (acb_dirichlet_zeta). Unevaluated for symbolic s or at the pole s = 1.

Examples

All examples below are verified against the current Mathilda build.

In[1]:= FLINT`Zeta[2]
Out[1]= 1.644934066848226

In[2]:= FLINT`Zeta[4]
Out[2]= 1.082323233711138

Implementation notes

Attributes: Protected.

Implementation status

Stable — documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

References