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math.NT2026
Exact Approximation In The Field Of Formal Series
Aratrika Pandey
In this article, we determine the Hausdorff dimension of the set of exactly -approximable vectors over local fields of positive characteristic. This result is the function fiel…
math.NT2026
Simultaneous Khintchine theorem on manifolds in positive characteristics: convergence case
Noy Soffer Aranov, Sourav Das, Arijit Ganguly +1
We prove the convergence case of Khintchine's theorem, with general approximation functions that are not necessarily monotonic, for analytic nonplanar manifolds over local fields o…