Criteria for the integrality of \(n\)th roots of power series

DOI10.4064/AA230425-4-4zbMATH Open1548.11057MaRDI QIDQ6606882

Armin Straub, John Pomerat

Publication date: 17 September 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

integer sequencesDieudonné-Dwork criterionintegrality of power series

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Formal power series rings (13F25)

Cites Work

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• Automatic congruences for diagonals of rational functions
• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• Norm residue symbol in local number fields
• On the integrality of \(n\)th roots of generating functions
• Truncated versions of Dwork's lemma for exponentials of power series and \(p\)-divisibility of arithmetic functions
• On the Artin-Hasse Exponential Series
• The p-adic valuation of k-central binomial coefficients
• An invitation to formal power series

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