Characterization of 2-Pisot elements in the field of Laurent series over a finite field

DOI10.1134/S0001434620030220zbMath1453.11134OpenAlexW3020683188WikidataQ114075419 ScholiaQ114075419MaRDI QIDQ2192004

Mabrouk Ben Nasr, H. Kthiri

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620030220

zbMATH Keywords

finite fieldirreducible polynomialLaurent series2-Pisot series

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (2)

On algebraic integers which are 2-Salem elements in positive characteristic ⋮ The smallest \(2\)-Pisot numbers in \(\mathbb{F}_q ((X^{-1}))\) where \(q\) is different from the power of \(2\)

Cites Work

• The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series
• Complex Pisot numbers of small modulus.
• Automatic \(\beta\)-expansions of formal Laurent series over finite fields
• Spectral properties of cubic complex Pisot units
• Éléments algébriques remarquables dans un corps de séries formelles
• A Closed Set of Algebraic Integers
• Complex Pisot numbers in algebraic number fields
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