Asymptotics and algebraicity of some generating functions

DOI10.1016/0001-8708(87)90015-6zbMath0651.05008OpenAlexW2026527962MaRDI QIDQ1106218

William Beckner, Amitai Regev

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0001-8708(87)90015-6

zbMATH Keywords

algebraic generating functionsnonalgebraic generating functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (5)

Algebraic properties of codimension series of PI-algebras. ⋮ Growth for algebras satisfying polynomial identities. ⋮ Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities ⋮ On generating series of finitely presented operads ⋮ Asymptotic codimensions of \(M_k(E)\)

Cites Work

• Unnamed Item
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• Computing with 2\(\times 2\) matrices
• Codimensions and trace codimensions of matrices are asymptotically equal
• Young diagrams and determinantal varieties
• Differentiably finite power series
• Sister Celine's technique and its generalizations
• Combinatorial sums, identities and trace identities of the 2x2 matrices
• Sur les séries de Taylor n'ayant que des singularites algebrico- logarithmiques sur leur cercle de convergence
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Asymptotic values for degrees associated with strips of Young diagrams
• Some Conjectures for Root Systems

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