7 papers
Spectrum of the refined Diophantine exponent
Quang-Khai Nguyen
The refined Diophantine exponent, recently introduced by the author, is a quantity that measures the periodicity of an infinite word. In this article, we study this exponent from c…
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…
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…
Abelian varieties are de Rham
Vo Quoc Bao, Quang-Khai Nguyen
Motivated by the work of Esnault-Hai, one has the notion of de Rham schemes, defined as follows. Given a smooth proper geometrically connected scheme over a field …
On the generating series of the degree sequence
Quang-Khai Nguyen
We study the generating series associated with the degree sequence of a monomial self-map of a projective toric variety. We establish conditions under which this series has its cir…
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…