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20192026
most citedValues of Inhomogeneous Forms at S-integral points

2 citations · 2 across the 4 of their papers we have counts for

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Showing 2021Show all

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math.DS2021

Asymptotic distribution for pairs of linear and quadratic forms at integral vectors

Jiyoung Han, Seonhee Lim, Keivan Mallahi-Karai

We study the joint distribution of values of a pair consisting of a quadratic form and a linear form over the set of integral vectors, a problem initiated by Dani-M…

math.NT2021

Higher moment formulae and limiting distributions of lattice points

Mahbub Alam, Anish Ghosh, Jiyoung Han

We prove functional limit theorems for lattice point counting for affine and congruence lattices using the method of moments. Our main tools are higher moment formulae for Siegel t…

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…