On algebraic integers which are 2-Salem elements in positive characteristic

DOI10.1142/S179304212250083XzbMath1504.11113WikidataQ114071815 ScholiaQ114071815MaRDI QIDQ5082485

H. Kthiri, Mabrouk Ben Nasr

Publication date: 16 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

finite fieldLaurent series2-Salem element

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• The growth function of Coxeter dominoes and 2-Salem numbers.
• The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series
• Characterization of 2-Pisot elements in the field of Laurent series over a finite field
• The algebraic closure of the power series field in positive characteristic
• THERE ARE SALEM NUMBERS OF EVERY TRACE
• Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem
• Seventy years of Salem numbers