`_padic_teichmuller`

Synopsis#include <flint/padic.h>

void _padic_teichmuller(fmpz_t rop, const fmpz_t op, const fmpz_t p, slong N)source

Sets rop to the Teichmüller lift of the $p$ -adic unit op modulo $p^N$ : the unique root of unity of order dividing $p - 1$ that is congruent to op modulo $p$ . Requires $N \ge 1$ and allows aliasing. For $p = 2$ the result is 1.

Cite this page

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

@misc{flint-doc-padic-padic-teichmuller,
  author       = {{The FLINT team}},
  title        = {{\_padic\_teichmuller (padic.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/padic/_padic_teichmuller.html},
  note         = {Generated 2026-11-02}
}

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