Cover Image

Numeration systems without a dominant root and regularity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Charlier, Émilie, Kreczman, Savinien
Format:	Preprint
Published:	2025
Subjects:	Number Theory Combinatorics 11A67, 68Q45, 11K16, 11A63
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Positionality of Dumont--Thomas numeration systems for integers
by: Kreczman, Savinien, et al.
Published: (2025)

Computing Expansions in Infinitely Many Cantor Real Bases via a Single Transducer
by: Charlier, Émilie, et al.
Published: (2025)

Parry condition, existence and uniqueness of alternate bases
by: Charlier, Émilie, et al.
Published: (2026)

Abelian-normal decimal expansions
by: Campbell, John M.
Published: (2026)

Asymptotic Analysis of Regular Sequences
by: Heuberger, Clemens, et al.
Published: (2018)

Midy's Theorem in non-integer bases and divisibility of Fibonacci numbers
by: Masáková, Zuzana, et al.
Published: (2024)

A Normality Conjecture on Rational Base Number Systems
by: Andrieu, Mélodie, et al.
Published: (2025)

Asymptotic Analysis of q-Recursive Sequences
by: Heuberger, Clemens, et al.
Published: (2021)

A Fibonacci analogue of the two's complement numeration system
by: Labbé, Sébastien, et al.
Published: (2022)

Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions
by: Kamio, Yuhi
Published: (2025)

On the structure of the complement $\overline{\Mfib}$ of the set $\Mfib$ of fibbinary numbers in the set of positive natural numbers
by: Macfarlane, A. J.
Published: (2024)

Addition Automata and Attractors of Digit Systems Corresponding to Expanding Rational Matrices
by: Cruz, Anjelo Gabriel R., et al.
Published: (2025)

Erdős-Wintner theorem for linear recurrent bases
by: Verwee, Johann
Published: (2025)

Factor Complexity of the Most Significant Digits of~$a^{n^d}$
by: Golafshan, Mehdi, et al.
Published: (2024)

The Theory of Normality for Dynamically Generated Cantor Series Expansions
by: Farhangi, Sohail, et al.
Published: (2025)

On the behavior of binary block-counting functions under addition
by: Sobolewski, Bartosz
Published: (2024)

Upper Bounds for Digitwise Generating Functions of Powers of Two: A Problem and a Matrix Representation
by: Noda, Hideaki
Published: (2025)

Dumont-Thomas complement numeration systems for $\mathbb{Z}$
by: Labbé, Sébastien, et al.
Published: (2023)

Constructions of normal numbers with infinitely many digits
by: Boonstra, Aafko, et al.
Published: (2024)

Une remarque sur l'arborification de Matula
by: Manchon, Dominique
Published: (2026)

A Note on the Relation between Recognisable Series and Regular Sequences, and their Minimal Linear Representations
by: Heuberger, Clemens, et al.
Published: (2022)

On the fibbinary numbers and the Wythoffarray
by: Macfarlane, A. J.
Published: (2024)

On finite $β$-expansions for the set of natural numbers
by: Carvalho, Túlio O., et al.
Published: (2025)

An algorithm and computation to verify Legendre's Conjecture up to $3.33\cdot10^{13}$
by: Sorenson, Jonathan, et al.
Published: (2024)

Multivariable automatic arrays and transcendence
by: Paul, Aadrita, et al.
Published: (2026)

String attractors of some simple-Parry automatic sequences
by: Gheeraert, France, et al.
Published: (2023)

Additive and geometric transversality of fractal sets in the integers
by: Glasscock, Daniel, et al.
Published: (2020)

Summing the sum of digits
by: Allouche, Jean-Paul, et al.
Published: (2023)

Binary-ternary collisions and the last significant digit of $n!$ in base 12
by: Deshouillers, Jean-Marc, et al.
Published: (2024)

Mixed radix numeration bases: Horner's rule, Yang-Baxter equation and Furstenberg's conjecture
by: Simon, Damien
Published: (2024)

Quantum modularity of signatures in TQFT and generalized Dedekind sums
by: Murakami, Yuya
Published: (2026)

Alternating geometric progressions modulo one and Sturmian words
by: Lu, Qing, et al.
Published: (2026)

A Generalization of Markov Numbers
by: Banaian, Esther, et al.
Published: (2022)

Non-standard Zeckendorf decompositions; or, Tribonacci within Fibonacci
by: Anders, Katie, et al.
Published: (2026)

The Frobenius problem for shifted square sequences starting with a multiple of 4
by: Song, Kyunghwan
Published: (2026)

On the $b$-ary expansion of a real number whose irrationality exponent is close to 2
by: Bugeaud, Yann, et al.
Published: (2025)

On the monogenity of pure number fields: application to the existence of canonical number systems
by: Yakkou, Hamid Ben, et al.
Published: (2024)

Optimal Representations of Gaussian and Eisenstein Integers using digit sets closed under multiplication
by: Blažek, Adam, et al.
Published: (2024)

Ellipsephic harmonic series revisited
by: Allouche, Jean-Paul, et al.
Published: (2024)

Opacity complexity of automatic sequences. The general case
by: Allouche, J. -P., et al.
Published: (2024)