3 papers
math.NT2021
Vojta's abc Conjecture for algebraic tori and applications over function fields
Ji Guo, Khoa D. Nguyen, Chia-Liang Sun +1
We prove Vojta's generalized abc conjecture for algebraic tori over function fields with exceptional sets that can be determined effectively. Additionally, we establish a version o…
math.CV2021
A truncated second main theorem for algebraic tori with moving targets and applications
Ji Guo, Chia-Liang Sun, Julie Tzu-Yueh Wang
We establish a second main theorem for algebraic tori with slow growth moving targets with truncation to level 1. As the first application of this result, we prove the Green-Griffi…
math.NT2020
On Pisot's -th root conjecture for function fields and related GCD estimates
Ji Guo, Chia-Liang Sun, Julie Tzu-Yueh Wang
We propose a function-field analog of Pisot's -th root conjecture on linear recurrences, and prove it under some "non-triviality" assumption. Besides a recent result of Pasten-W…