34 citations · 36 across the 8 of their papers we have counts for
8 papers
Adelic perturbation of rational functions and applications
Félix Baril Boudreau, Erik Holmes, Khoa D. Nguyen
Let be the power series representation of a rational function and let be a so-called almost q…
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 . In the special case t…
Some arithmetical properties of convergents to algebraic numbers
Yann Bugeaud, Khoa D. Nguyen
Let be an irrational algebraic real number and denote the sequence of its convergents. Let be a non-degenerate linear recurrence sequ…
A general criterion for the Pólya-Carlson dichotomy and application
Jason P. Bell, Keira Gunn, Khoa D. Nguyen +1
We prove a general criterion for an irrational power series with coefficients in a number field to admit the unit circle as a natu…
D-finiteness, rationality, and height II: lower bounds over a set of positive density
Jason P. Bell, Khoa D. Nguyen, Umberto Zannier
We consider D-finite power series with coefficients in a number field . We show that there is a dichotomy governing the behaviour of as a function o…
Skew-invariant curves and the algebraic independence of Mahler functions
Alice Medvedev, Khoa Dang Nguyen, Thomas Scanlon
For a positive rational number different from one, we say that the Puisseux series is -Mahler of n…
Neutrino mass matrices from localization in M-theory on orbifold
Eric Gonzalez, Gordon Kane, Khoa Nguyen
M-theory compactified on a manifold with resolved singularity is a promising candidate for a unified theory. The experimentally observed masses of quarks and charged le…
ABC implies primitive prime divisors in arithmetic dynamic
Chad Gratton, Khoa Nguyen, Thomas J. Tucker
Let K be a number field, let f(x) in K(x) be a rational function of degree d> 1, and let z in K be a wandering point such that f^n(z) is nonzero for all n > 0. We prove that if the…