FLINT3.7.0-dev
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unity_zp_jacobi_sum_2q_one, unity_zp_jacobi_sum_2q_two

Synopsis#include <flint/aprcl.h>
void unity_zp_jacobi_sum_2q_one(unity_zp f, ulong q)source
void unity_zp_jacobi_sum_2q_two(unity_zp f, ulong q)source

For p=2p = 2, set ff to J2(q)=j(χ2,q2k−3,χ2,q3⋅2k−3)2J_2(q) = j(\chi_{2,q}^{2^{k-3}}, \chi_{2,q}^{3 \cdot 2^{k-3}})^2, respectively J3(q)=j(χ2,q,χ2,q,χ2,q)=J(2,q) j(χ2,q2,χ2,q)J_3(q) = j(\chi_{2,q}, \chi_{2,q}, \chi_{2,q}) = J(2, q)\, j(\chi_{2,q}^2, \chi_{2,q}).

Cite this page

The FLINT team, “unity_zp_jacobi_sum_2q_one, unity_zp_jacobi_sum_2q_two (aprcl.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/aprcl/unity_zp_jacobi_sum_2q_one.html (generated 2026-11-02).