`_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 2026-10-20).

@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 2026-10-20}
}

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