arb_log_newton, arb_log_arf_newton
Synopsis
#include <flint/arb.h>Compute \log x from a lower-precision value t \approx \log x by the higher-order iteration \log x = t + \log(1 + (x e^{-t} - 1)), with the logarithm of the small correction evaluated by a short series. Used for arb_log_arf above 2800 bits.
Cite this page
The FLINT team, “arb_log_newton, arb_log_arf_newton (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_log_newton.html (generated 2026-10-20).
@misc{flint-doc-arb-arb-log-newton,
author = {{The FLINT team}},
title = {{arb\_log\_newton, arb\_log\_arf\_newton (arb.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb/arb_log_newton.html},
note = {Generated 2026-10-20}
}