Title: On the error term of a lattice counting problem, II,
Abstract: Under the Riemann Hypothesis, we improve the error term in the asymptotic
formula related to the counting lattice problem studied in a first part of this
work. The improvement comes from the use of Weyl's bound for exponential sums
of polynomials and a device due to Popov allowing us to get an improved main
term in the sums of certain fractional parts of polynomials.