Monodromie unipotente maximale, congruences “à la Lucas” et indépendance algébrique

DOI10.1090/tran/8913arXiv2103.15192MaRDI QIDQ6186120

Daniel Vargas-Montoya

Publication date: 9 January 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15192

zbMATH Keywords

algebraic independencereduction modulo \(p\)strong Frobenius structure

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) (p)-adic differential equations (12H25) Ordinary differential equations in the complex domain (34M99) (p)-adic theory (11E95)

Cites Work

• Divisibility properties of sporadic Apéry-like numbers
• Multiple binomial sums
• Rotation encoding and self-similarity phenomenon
• On the transcendence of certain series
• Fonctions et éléments algébriques. (Algebraic functions and elements)
• Some congruences for Apery numbers
• Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets)
• Transcendence of binomial and Lucas' formal power series
• Systèmes différentiels linéaires $p$-adiques, structure de Frobenius faible
• An Introduction to "G"-Functions. (AM-133)
• Algebraic independence of G-functions and congruences "à la Lucas"
• Diagonalization and Rationalization of algebraic Laurent series
• Algébricité modulo $p$, séries hypergéométriques et structures de Frobenius fortes
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