FLINT3.7.0-dev
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acb_theta_ql_recombine

Synopsis#include <flint/acb_theta.h>
void acb_theta_ql_recombine(acb_ptr th, acb_srcptr th0, acb_srcptr cofactors, const slong * pts, slong nb, const arf_t err, slong fullprec, slong s, ulong a, int all, slong g, slong prec)source

The converse of acb_theta_ql_lower_dim: recovers the normalised theta values at (z,τ)(z, \tau) from the values in dimension ss at the vectors new_zs and τ0\tau_0. If all is nonzero, th0 holds nb vectors of the 22s2^{2s} values θ~a0,b0\widetilde{\theta}_{a_0,b_0} and th receives all 22g2^{2g} values θ~a,b(z,τ)\widetilde{\theta}_{a,b}(z,\tau); otherwise th0 holds nb vectors of the 2s2^s values θ~a0,0\widetilde{\theta}_{a_0,0} and th receives the 2g2^g values θ~a,0(z,τ)\widetilde{\theta}_{a,0}(z,\tau). The other arguments are the outputs of acb_theta_ql_lower_dim.

Cite this page

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