The smallest \(2\)-Pisot numbers in \(\mathbb{F}_q ((X^{-1}))\) where \(q\) is different from the power of \(2\)
DOI10.11650/tjm/230601zbMath1528.11112OpenAlexW4381249948MaRDI QIDQ6178588
Publication date: 16 January 2024
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/tjm/230601
Counting solutions of Diophantine equations (11D45) Continued fractions (11A55) Diophantine equations in many variables (11D72) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Approximation in non-Archimedean valuations (11J61)
Cites Work
- Unnamed Item
- Unnamed Item
- Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor
- The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series
- Complex Pisot numbers of small modulus.
- Characterization of 2-Pisot elements in the field of Laurent series over a finite field
- Automatic \(\beta\)-expansions of formal Laurent series over finite fields
- A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
- Algebraic integers whose conjugates lie in the unit circle
- Spectral properties of cubic complex Pisot units
- On limits of PV k-tuples
- The Smallest Pisot Element in the Field of Formal Power Series Over a Finite Field
- Irreducibility criterion and 2-pisot series in positive character
- On Sets of Algebraic Integers Whose Remaining Conjugates Lie in the Unit Circle
- A Closed Set of Algebraic Integers
- Étude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques
- Complex Pisot numbers in algebraic number fields
This page was built for publication: The smallest \(2\)-Pisot numbers in \(\mathbb{F}_q ((X^{-1}))\) where \(q\) is different from the power of \(2\)
