Number Theoretic Aspects of Regular Sequences

DOI10.1007/978-3-319-69152-7_2zbMath1423.11063OpenAlexW2796933303MaRDI QIDQ4613546

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1007/978-3-319-69152-7_2

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Special sequences and polynomials (11B83) Automata sequences (11B85)

Related Items (3)

Asymptotic analysis of \(q\)-recursive sequences ⋮ ZAREMBA, SALEM AND THE FRACTAL NATURE OF GHOST DISTRIBUTIONS ⋮ Becker’s conjecture on Mahler functions

Cites Work

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Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated
An explicit counterexample to the Lagarias-Wang finiteness conjecture
Sets of matrices all infinite products of which converge
The ring of \(k\)-regular sequences
The Burnside problem for semigroups
The \(\mathfrak p\)-adic Thue-Siegel-Roth-Schmidt theorem
\(k\)-regular power series and Mahler-type functional equations
The finiteness conjecture for the generalized spectral radius of a set of matrices
On the accuracy of the ellipsoid norm approximation of the joint spectral radius
Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences
The maximal order of Stern's diatomic sequence
On the finiteness property for rational matrices
Remarks on a paper by W. Schwarz
On the complexity of algebraic numbers. I: Expansions in integer bases
Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
Algebraic Independence of Infinite Products and Their Derivatives
THE MINIMAL GROWTH OF A -REGULAR SEQUENCE
Zero order estimates for Mahler functions
A problem about Mahler functions
Transcendence tests for Mahler functions
A method of Mahler in transcendence theory and some of its applications
Algebraic independence measures of the values of Mahler functions.
Effective measures for algebraic independence of the values of Mahler type functions
Zero order estimates for functions satisfying generalized functional equations of Mahler type
Automatic Sequences
An Elementary Counterexample to the Finiteness Conjecture
Regular Sequences and the Joint Spectral Radius
Diophantine approximation of Mahler numbers
On the Computational Complexity of Algorithms
Méthode de Mahler : relations linéaires, transcendance et applications aux nombres automatiques
The rational-transcendental dichotomy of Mahler functions
On the base-dependence of sets of numbers recognizable by finite automata
Rational approximations to algebraic numbers
Four Faces of Number Theory

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