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most citedValues of Inhomogeneous Forms at S-integral points

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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.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…