`_padic_radix_log_bound`

Synopsis#include <flint/padic_radix.h>

slong _padic_radix_log_bound(slong v, slong N, ulong p)source

Returns the least $b \ge 2$ such that $iv - \operatorname{ord}_p(i) \ge N$ for all $i \ge b$ , so that the series for $\log(1 - y)$ with $\operatorname{ord}_p(y) = v$ can be truncated after $b - 1$ terms.

Cite this page

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

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

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