FLINT3.7.0-dev

_padic_log_bound

Synopsis#include <flint/padic.h>
slong _padic_log_bound(slong v, slong N, const fmpz_t p)source

Returns b such that iv - \operatorname{ord}_p(i) \ge N for all i \ge b, so that the logarithm series for an argument of valuation v can be truncated after b - 1 terms. Requires 1 \le v < N and N < 2^{\mathtt{FLINT\_BITS} - 2}; throws if N is larger.

Cite this page

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