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math.NT2022
Singular Vectors in Real Affine Subspaces
Shreyasi Datta, Yewei Xu
We prove inheritance of measure zero property of the set of singular vectors for affine subspaces and submanifolds inside those affine subspaces. We define a notion of -singular…
math.NT2022
Singular Vectors and -Dirichlet Numbers over Function Field
Shreyasi Datta, Yewei Xu
We show that the only -Dirichlet numbers in a function field over a finite field are rational functions, unlike -Dirichlet numbers in . We also prove that there a…