2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.DS2021★ 2 cited
Values of Inhomogeneous Forms at S-integral points
Anish Ghosh, Jiyoung Han
We prove effective versions of Oppenheim's conjecture for generic inhomogeneous forms in the S-arithmetic setting. We prove an effective result for fixed rational shifts and generi…
math.NT2020
A generic effective Oppenheim theorem for systems of forms
Prasuna Bandi, Anish Ghosh, Jiyoung Han
We prove a uniform effective density theorem as well as an effective counting result for a generic system comprising a polynomial with a mild homogeneous condition and several line…
math.DS2019
Quantitative Oppenheim conjecture for -arithmetic quadratic forms of rank and
Jiyoung Han
The celebrated result of Eskin, Margulis and Mozes (1998) and Dani and Margulis (1993) on quantitative Oppenheim conjecture says that for irrational quadratic forms of rank at…