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math.NT2019
On the -adic distribution of torsion values for a section of an abelian scheme
Brian Lawrence, Umberto Zannier
Let be an abelian scheme over a -adic field, and let be a section. We study the torsion locus $\bigcup \limits_{n \geq 1} s^{-1}(A[n…
math.NT2019
D-finiteness, rationality, and height
Jason P. Bell, Khoa D. Nguyen, Umberto Zannier
Motivated by a result of van der Poorten and Shparlinski for univariate power series, Bell and Chen prove that if a multivariate power series over a field of characteristic 0 is D-…