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math.NT2016
Approximation of points in the plane by generic lattice orbits
Dubi Kelmer
We give upper and lower bounds for Diophantine exponents measuring how well a point in the plane can be approximated by points in the orbit of a lattice $Γ<\mathrm{SL}_2(\mathbb{R}…
math.NT2016
A Quantitative Oppenheim Theorem for generic ternary quadratic forms
Anish Ghosh, Dubi Kelmer
We prove a quantitative version of Oppenheim's conjecture for generic ternary indefinite quadratic forms. Our results are inspired by and analogous to recent results for diagonal q…