`_fmpq_poly_inv_series_newton`

Synopsis#include <flint/fmpq_poly.h>

void _fmpq_poly_inv_series_newton(fmpz * rpoly, fmpz_t rden, const fmpz * poly, const fmpz_t den, slong len, slong n)source

Computes the first $n$ terms of the inverse power series of (poly, den, len) using Newton iteration.

The result is produced in canonical form.

Assumes that $n \geq 1$ and that poly has non-zero constant term; this is not checked. Does not support aliasing.

Cite this page

The FLINT team, “_fmpq_poly_inv_series_newton (fmpq_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpq_poly/_fmpq_poly_inv_series_newton.html (generated 2026-11-02).

@misc{flint-doc-fmpq-poly-fmpq-poly-inv-series-newton,
  author       = {{The FLINT team}},
  title        = {{\_fmpq\_poly\_inv\_series\_newton (fmpq\_poly.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/fmpq_poly/_fmpq_poly_inv_series_newton.html},
  note         = {Generated 2026-11-02}
}

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