FLINT3.7.0-dev

_ca_poly_inv_series, ca_poly_inv_series

Synopsis#include <flint/ca_poly.h>
void _ca_poly_inv_series(ca_ptr res, ca_srcptr f, slong flen, slong len, ca_ctx_t ctx)source
void ca_poly_inv_series(ca_poly_t res, const ca_poly_t f, slong len, ca_ctx_t ctx)source

Sets res to the power series inverse 1/f \bmod x^{\mathit{len}}. The constant term must be invertible: if it is zero the result consists of special values (unsigned infinity or Undefined), and Unknown values if it cannot be decided whether it is zero. Rational series are inverted over \mathbb{Q}; otherwise the classical recurrence or, for long series with fast multiplication, Newton iteration is used.

Cite this page

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