Analytic functions over \(\mathbb Z_p\) and \(p\)-regular sequences

DOI10.1016/j.crma.2011.08.001zbMath1266.30035OpenAlexW1990145637MaRDI QIDQ640887

Zhang Shu, Jia-Yan Yao

Publication date: 21 October 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.08.001

zbMATH Keywords

\(p\)-adic integersrecurrent sequences\(p\)-regular sequences

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Automata sequences (11B85) Non-Archimedean function theory (30G06)

Related Items (8)

The 2-adic valuation of generalized Fibonacci sequences with an application to certain Diophantine equations ⋮ Morphisms on infinite alphabets, countable states automata and regular sequences ⋮ On the regularity of \(\{\lfloor \log_b(\alpha n+\beta)\rfloor\}_{n\geq 0}\) ⋮ On the \(p\)-adic properties of \(2\)-sected sums involving binomial coefficients ⋮ On \(k\)-regularity of sequences of valuations and last non-zero digits ⋮ On the k-regularity of the k-adic valuation of Lucas sequences ⋮ \(p\)-adic asymptotic properties of constant-recursive sequences ⋮ Automatic Sequences and Generalised Polynomials

Cites Work

• The ring of \(k\)-regular sequences
• The ring of \(k\)-regular sequences. II.
• \(p\)-adic valuations and \(k\)-regular sequences
• Automatic Sequences
• $p$-regularity of the $p$-adic valuation of the Fibonacci sequence
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