Multivariate linear recurrences and power series division

DOI10.1016/j.disc.2012.08.009zbMath1254.05017OpenAlexW2136236973WikidataQ41643845 ScholiaQ41643845MaRDI QIDQ1759398

Christoph Koutschan, Herwig Hauser

Publication date: 20 November 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.08.009

zbMATH Keywords

formal power serieslinear recurrence equationpower series division\(C\)-finite recurrence\(P\)-finite recurrencemultivariate sequenceperfect operator

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

Local zero estimates and effective division in rings of algebraic power series

Cites Work

• Théorème de division et stabilité en géométrie analytique locale
• Linear recurrences with constant coefficients: The multivariate case
• A rank theorem for analytic maps between power series spaces
• Perfect bases for differential equations
• Über die Deformation isolierter Singularitäten analytischer Mengen
• Proof of Ira Gessel's lattice path conjecture
• A conjecture in the arithmetic theory of differential equations
• The complete generating function for Gessel walks is algebraic
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