K. Nguyen

collaborators

3 papers

math.NT2023

Adelic perturbation of rational functions and applications

Félix Baril Boudreau, Erik Holmes, Khoa D. Nguyen

Let $\sum a_{n} x^{n} \in Q ˉ [[x]]$ be the power series representation of a rational function and let $f : {0, 1, \dots} \to Q ˉ$ be a so-called almost q…

math.NT2023

D-finiteness, rationality, and height III: multivariate Pólya-Carlson dichotomy

Jason P. Bell, Shaoshi Chen, Khoa D. Nguyen +1

We prove a result that can be seen as an analogue of the Pólya-Carlson theorem for multivariate D-finite power series with coefficients in $Q ˉ$ . In the special case t…

math.NT2022

Skew-invariant curves and the algebraic independence of Mahler functions

Alice Medvedev, Khoa Dang Nguyen, Thomas Scanlon

For $p \in Q_{+} ∖ {1}$ a positive rational number different from one, we say that the Puisseux series $f \in C ((t))^{alg}$ is $p$ -Mahler of n…