Algebraic power series and diagonals
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Publication:1086624
DOI10.1016/0022-314X(87)90095-3zbMath0609.12020MaRDI QIDQ1086624
Publication date: 1987
Published in: Journal of Number Theory (Search for Journal in Brave)
Formal languages and automata (68Q45) Transcendence (general theory) (11J81) Algebraic numbers; rings of algebraic integers (11R04) Other nonanalytic theory (11S85) Power series rings (13J05) Henselian rings (13J15)
Related Items (34)
Unnamed Item ⋮ Algebraic diagonals and walks: algorithms, bounds, complexity ⋮ On congruence schemes for constant terms and their applications ⋮ A List of Integral Representations for the Diagonal of Power Series of a Rational Function ⋮ The diagonal of a D-finite power series is D-finite ⋮ Note sur un article de Sharif et Woodcock ⋮ Linear cellular automata, finite automata and Pascal's triangle ⋮ Łukasiewicz language and diagonals of formal series ⋮ Generating functions, Fibonacci numbers and rational knots ⋮ On the algebraicity of Puiseux series ⋮ Stieltjes continued fractions related to the paperfolding sequence and Rudin-Shapiro sequence ⋮ The classical Artin approximation theorems ⋮ Asymptotics of coefficients of algebraic series via embedding into rational series (extended abstract) ⋮ D-finite power series ⋮ Hadamard grade of power series ⋮ Algebraic elements in formal power series rings. II ⋮ On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions ⋮ An elementary approach to \(L\)-functions \(\text{mod }p\) ⋮ On vanishing coefficients of algebraic power series over fields of positive characteristic ⋮ On the Eisenstein constant ⋮ Profinite automata ⋮ AUTOMATICITY OF COARSE-GRAINING INVARIANT ORBITS OF ONE-DIMENSIONAL LINEAR CELLULAR AUTOMATA ⋮ A note on commutative multivariate rational series ⋮ Unnamed Item ⋮ \(E\)-algebraic functions over fields of positive characteristic -- an analogue of differentially algebraic functions ⋮ Transcendence of binomial and Lucas' formal power series ⋮ Picard groups and infinite matrix rings ⋮ Linear differential equations as a data structure ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms ⋮ GAPS IN TAYLOR SERIES OF ALGEBRAIC FUNCTIONS ⋮ Diagonal representation of algebraic power series: a glimpse behind the scenes ⋮ On Christol’s conjecture ⋮ Automatic congruences for diagonals of rational functions ⋮ Some Research Problems about Algebraic Differential Equations
Cites Work
- Intégration sur un cycle évanescent
- Fonctions et éléments algébriques. (Algebraic functions and elements)
- Algebraic functions over finite fields
- Algebraic approximation of structures over complete local rings
- Anneaux locaux henséliens
- Suites algébriques, automates et substitutions
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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