FLINT3.7.0-dev

acb_dirichlet_backlund_s_bound

Synopsis#include <flint/acb_dirichlet.h>
void acb_dirichlet_backlund_s_bound(mag_t res, const arb_t t)source

Sets res to an upper bound for |S(t)|, by Theorem 1 and (1.2) of [Tru2014].

References#

  • [Tru2014] T. S. Trudgian, "An improved upper bound for the argument of the Riemann zeta-function on the critical line II", Journal of Number Theory 134 (2014), 280-292, https://doi.org/10.1016/j.jnt.2013.07.017
Cite this page

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