`arb_zeta_ui_euler_product, arb_zeta_ui_asymp`

Synopsis#include <flint/arb.h>

void arb_zeta_ui_euler_product(arb_t z, ulong s, slong prec)source

void arb_zeta_ui_asymp(arb_t x, ulong s, slong prec)source

Set the output to \zeta(s) using the Euler product, which is fast only when s is large compared to prec. Both are wrappers of _acb_dirichlet_euler_product_real_ui.

Cite this page

The FLINT team, “arb_zeta_ui_euler_product, arb_zeta_ui_asymp (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_zeta_ui_euler_product.html (generated 2026-10-20).

@misc{flint-doc-arb-arb-zeta-ui-euler-product,
  author       = {{The FLINT team}},
  title        = {{arb\_zeta\_ui\_euler\_product, arb\_zeta\_ui\_asymp (arb.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/arb/arb_zeta_ui_euler_product.html},
  note         = {Generated 2026-10-20}
}

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