Shucheng Yu

activity

20162022

most citedEffective density for inhomogeneous quadratic forms I: generic forms and fixed shifts

17 citations · 81 across the 12 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 17 cited

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

Anish Ghosh, Dubi Kelmer, Shucheng Yu

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…

math.DS2019★ 5 cited

A dynamical Borel-Cantelli lemma via improvements to Dirichlet's theorem

Dmitry Kleinbock, Shucheng Yu

Let $X ≅ SL_{2} (R) / SL_{2} (Z)$ be the space of unimodular lattices in $R^{2}$ , and for any $r \geq 0$ denote by $K_{r} \subset X$ the s…