\(p\)-linear schemes for sequences modulo \(p^{r}\)

DOI10.1016/j.indag.2023.12.003zbMATH Open1546.11041MaRDI QIDQ6585094

Frits Beukers

Publication date: 9 August 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Lucas propertycombinatorial sequence\(p\)-automata

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Recurrences (11B37) Special sequences and polynomials (11B83) Diophantine equations in many variables (11D72) Automata sequences (11B85)

Cites Work

• Automatic congruences for diagonals of rational functions
• Multivariate Apéry numbers and supercongruences of rational functions
• Some congruences for Apery numbers
• On congruence schemes for constant terms and their applications
• Generalized Lucas congruences and linear \(p\)-schemes
• Diagonals of rational functions and selected differential Galois groups
• Dwork Crystals II
• Dwork Crystals I
• A case study in meta-automation: automatic generation of congruence automata for combinatorial sequences
• Dwork Crystals III: From Excellent Frobenius Lifts Towards Supercongruences

Related Items (1)

Lucas congruences using modular forms

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