By Anish Ghosh and others

We establish effective versions of Oppenheim's conjecture for generic inhomogeneous quadratic forms. We prove such results for fixed shift vectors and generic quadratic forms. When the shift is rational we prove a counting result which implies the optimal density for values of generic inhomogeneous forms. We also obtain a similar... Show more

January 29, 2020

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Effective density for inhomogeneous quadratic forms I: generic forms and fixed shifts

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