FLINT3.7.0-dev

jacobi_one_prime

Synopsis#include <flint/acb_dirichlet.h>
ulong jacobi_one_prime(ulong p, ulong e, ulong pe, ulong cond)source

Returns the local factor at p (with p^e \| q and pe = p^e) of the Jacobi sum J_q(1, \chi) for a character of conductor cond. The value is a signed integer cast to ulong.

Cite this page

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