D-finiteness, rationality, and height. III: Multivariate Pólya-Carlson dichotomy
From MaRDI portal
Publication:6204757
DOI10.1007/s00209-024-03470-3arXiv2306.02590MaRDI QIDQ6204757
Shaoshi Chen, Khoa D. Nguyen, Jason P. Bell, Umberto Zannier
Publication date: 2 April 2024
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.02590
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- D-finite power series
- Power series with integer coefficients in several variables
- Differentiably finite power series
- Dynamics on abelian varieties in positive characteristic
- On periodic \(\text{mod }p\) sequences and \(G\)-functions. (On a conjecture of Ruzsa)
- Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture
- An analogue of Ruzsa's conjecture for polynomials over finite fields
- Power series with coefficients from a finite set
- D-finiteness, rationality, and height. II: Lower bounds over a set of positive density
- On Siegel's problem for \(E\)-functions
- Dynamical Uniform Bounds for Fibers and a Gap Conjecture
- On linear recurrence sequences with polynomial coefficients
- D-finiteness, rationality, and height
- A general criterion for the Pólya-Carlson dichotomy and application
- A height gap theorem for coefficients of Mahler functions