Effective Density for Inhomogeneous Quadratic Forms II: Fixed Forms and Generic Shifts
Effective Density for Inhomogeneous Quadratic Forms II: Fixed Forms and Generic Shifts
Abstract We establish effective versions of Oppenheim’s conjecture for generic inhomogeneous quadratic forms. We prove such results for fixed quadratic forms and generic shifts. Our results complement our previous paper [13] where we considered generic forms and fixed shifts. In this paper, we use ergodic theorems and in particular we …