Cover Image

Mahler's method and Carlitz logarithm

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Estienne, Guillaume
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Additive index and Carlitz rank
by: Bienvenu, Pierre-Yves, et al.
Published: (2026)

Addendum to: Mahler's method in several variables and finite automata
by: Faverjon, Colin, et al.
Published: (2024)

Exceptional extensions of local fields and the Carlitz--Wan conjecture
by: Ding, Zhiguo, et al.
Published: (2025)

Representing Carlitz formula with q-shift operator
by: Yang, Dunkun
Published: (2023)

On the Irrationality Exponents of Mahler Numbers
by: Rajchert, Andrew
Published: (2024)

A purity theorem for Mahler equations
by: Faverjon, Colin, et al.
Published: (2025)

Algebraic independence of the Carlitz period and its hyperderivatives
by: Maurischat, Andreas
Published: (2021)

Quaternionic Mahler measure
by: Wang, Weijia, et al.
Published: (2024)

Extending a result of Carlitz and McConnel to polynomials which are not permutations
by: Csajbók, Bence
Published: (2024)

The Mahler measure of exact polynomials in three variables
by: Trieu, Thu Ha
Published: (2023)

Mahler measure, motivic regulators and Dirichlet $L$-values
by: He, Wei, et al.
Published: (2025)

A note on $p$-adic higher Mahler measures
by: Katagiri, Yu
Published: (2024)

A height gap theorem for coefficients of Mahler functions
by: Adamczewski, Boris, et al.
Published: (2020)

Mahler's $\frac{3}{2}$ problem in $\mathbb{Z}^{+} $
by: Kumar, Nikhil S
Published: (2024)

A Liouville-Type Inequality for Values of Mahler M-Functions
by: Adamczewski, Boris, et al.
Published: (2026)

On the Formal Carlitz Module
by: Anglès, Bruno
Published: (2025)

An Integral Digit Derivative Basis for Carlitz Prime Power Torsion Extensions
by: Maurischat, Andreas, et al.
Published: (2016)

Computing basis of solutions of any Mahler equation
by: Faverjon, Colin, et al.
Published: (2025)

Hahn series and Mahler equations: Algorithmic aspects
by: Faverjon, C., et al.
Published: (2024)

An algorithm to recognize regular singular Mahler systems
by: Faverjon, Colin, et al.
Published: (2021)

Regular singular Mahler equations and Newton polygons
by: Faverjon, Colin, et al.
Published: (2025)

Efficient resolution of Thue-Mahler equations
by: Gherga, Adela, et al.
Published: (2022)

Limits of Mahler measures in multiple variables
by: Brunault, François, et al.
Published: (2022)

Mahler measures and $L$-values of elliptic curves over real quadratic fields
by: Tao, Zhengyu, et al.
Published: (2022)

Transcendence of Hecke-Mahler Series
by: Luca, Florian, et al.
Published: (2024)

On a version of the Problem B of Mahler involving derivatives
by: Alves, Diego
Published: (2023)

The arithmetic volume of hypersurfaces in toric varieties and Mahler measures
by: Hajli, Mounir
Published: (2022)

A new proof of Carlitz-Wan conjecture on exceptional polynomials
by: Hu, Yilong, et al.
Published: (2026)

Arndt and Carlitz Compositions
by: Hopkins, Brian, et al.
Published: (2025)

The alternative to Mahler measure of a multivariate polynomial
by: Stankov, Dragan
Published: (2025)

On capitulation of logarithmic classes
by: Jaulent, Jean-François
Published: (2024)

The finiteness of computing the ultrametric Mahler measure
by: Samuels, Charles L.
Published: (2014)

CM points, class numbers, and the Mahler measures of $x^3+y^3+1-kxy$
by: Tao, Zhengyu, et al.
Published: (2023)

Monodromy of elliptic logarithms: some topological methods and effective results
by: Tropeano, Francesco
Published: (2024)

A binary version of the Mahler-Popken complexity function
by: Campbell, John M.
Published: (2024)

On the discriminants of truncated logarithmic polynomials
by: Cullinan, John, et al.
Published: (2024)

First-order factors of linear Mahler operators
by: Chyzak, Frédéric, et al.
Published: (2024)

Mahler equations for Zeckendorf numeration
by: Carton, Olivier, et al.
Published: (2024)

Transcendence of values of logarithms of $E$-functions
by: Fischler, Stéphane, et al.
Published: (2024)

A logarithmic analogue of Alladi's formula
by: Wang, Biao
Published: (2025)