`arith_harmonic_number, _arith_harmonic_number`

Synopsis#include <flint/arith.h>

void arith_harmonic_number(fmpq_t x, slong n)source

void _arith_harmonic_number(fmpz_t num, fmpz_t den, slong n)source

Set the result to the harmonic number H_n = \sum_{k=1}^n 1/k, or to 0 for n \le 0. Wrappers of fmpq_harmonic_ui.

Cite this page

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

@misc{flint-doc-arith-arith-harmonic-number,
  author       = {{The FLINT team}},
  title        = {{arith\_harmonic\_number, \_arith\_harmonic\_number (arith.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/arith/arith_harmonic_number.html},
  note         = {Generated 2026-10-20}
}

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