Mahler's method in several variables and finite automata
B Adamczewski, C Faverjon - arXiv preprint arXiv:2012.08283, 2020 - arxiv.org
We develop a theory of linear Mahler systems in several variables from the perspective of
transcendence and algebraic independence, which also includes the possibility of dealing …
transcendence and algebraic independence, which also includes the possibility of dealing …
Algebraic independence and linear difference equations
B Adamczewski, T Dreyfus, C Hardouin… - J. Eur. Math. Soc., to …, 2023 - ems.press
We consider pairs of automorphisms.;/acting on fields of Laurent or Puiseux series: pairs of
shift operators. W x 7! x C h1; W x 7! x C h2/, of q-difference operators. W x 7! q1x, W x 7 …
shift operators. W x 7! x C h1; W x 7! x C h2/, of q-difference operators. W x 7! q1x, W x 7 …
[PDF][PDF] Bibliography for Arithmetic Dynamics
JH Silverman - 2022 - math.brown.edu
This document lists a wide variety of articles and books in the area of arithmetic dynamics,
together with some miscellaneous articles and books in arithmetic geoemtry. It also includes …
together with some miscellaneous articles and books in arithmetic geoemtry. It also includes …