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math.DS2019★ 2 cited
Rogers' mean value theorem for -arithmetic Siegel transform and applications to the geometry of numbers
Jiyoung Han
We prove higher moment formulas for Siegel transforms defined over the space of unimodular -lattices in , , where in the real case, the formulas are intro…
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…