Cover Image

A purity theorem for Mahler equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Faverjon, Colin, Roques, Julien
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A purity theorem for Mahler equations
by: Colin Faverjon, et al.
Published: (2026)

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

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

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

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

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

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

Algebraic Independence Measures for Values of E-functions and M-functions
by: Faverjon, Colin, et al.
Published: (2025)

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

Hypertranscendence and $q$-difference equations over elliptic functionfields
by: de Shalit, Ehud, et al.
Published: (2024)

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

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

Frobenius method for Mahler equations
by: Roques, Julien
Published: (2025)

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

Mahler's method and Carlitz logarithm
by: Estienne, Guillaume
Published: (2026)

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

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

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

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

Another proof of the almost purity theorem for perfectoid valuation rings
by: Ishiro, Shinnosuke, et al.
Published: (2020)

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

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

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)

A note on purity of crystalline local systems
by: Moon, Yong Suk
Published: (2022)

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

Log prismatic $F$-crystals and purity
by: Du, Heng, et al.
Published: (2024)

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

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)

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

On Rado's single equation theorem
by: Sanders, Tom
Published: (2026)

A local-global correspondence for perfectoid purity
by: Ishizuka, Ryo, et al.
Published: (2026)

Reflexions on Mahler: Dessins, Modularity and Gauge Theories
by: Bao, Jiakang, et al.
Published: (2021)

Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjectures
by: Hokken, David, et al.
Published: (2026)

Some results on asymptotic versions of Mahler's problems
by: Francisco, Ricardo, et al.
Published: (2025)

On the non-Archimedean metric Mahler measure
by: Fili, Paul, et al.
Published: (2014)