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math.NT2026
Remarks on a theorem of Silverman
Khai-Hoan Nguyen-Dang, Quang-Khai Nguyen
Motivated by a theorem of Silverman, we consider the following problem. Let be an abelian variety over a global field . Given a non-torsion point , for a suffici…
math.NT2026
Transcendence and measures via the refined Diophantine exponent
Quang-Khai Nguyen
In 2007, Adamczewski and Bugeaud introduced the notion of the Diophantine exponent of an infinite word as a quantitative measure of repetition, leading to new transcendence results…
math.NT2022
On Some Variants Of Schinzel's Theorem For Global Function Fields
Quang-Khai Nguyen
In this paper, we obtain global function field versions of the results of Schinzel-Postnikova for multiplicative groups, and of Hahn-Cheon for elliptic curves, which is an analog o…