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math.NT2020
Boundary and Eisenstein Cohomology of
Jitendra Bajpai, Lifan Guan
In this article, Eisenstein cohomology of the arithmetic group with coefficients in any finite dimensional highest weight irreducible representation has been dete…
math.NT2020
Dirichlet is not just Bad and Singular
Victor Beresnevich, Lifan Guan, Antoine Marnat +2
It is well known that in dimension one the set of Dirichlet improvable real numbers consists precisely of badly approximable and singular numbers. We show that in higher dimensions…
math.NT2018
Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
Sam Chow, Anish Ghosh, Lifan Guan +2
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting.…