The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series

zbMath0105.02801MaRDI QIDQ775221

Alfred L. Duquette, Paul T. Bateman

Publication date: 1962

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

rings, modules, fields

Related Items (14)

Irreducibility criterion and 2-pisot series in positive character ⋮ Computation of \(L_\odot(\beta)\) for some Pisot series in \(\mathbb{F}_q((x^{- 1}))\) ⋮ Purely periodic \(\beta \)-expansions with Pisot or Salem unit base in \(\mathbb F_q((X^{-1}))\) ⋮ Continued \(\beta \)-fractions with formal power series over finite fields ⋮ On algebraic integers which are 2-Salem elements in positive characteristic ⋮ Algébricité des fonctions méromorphes prenant certaines valeurs algébriques ⋮ Rational Laurent series with purely periodic \(\beta\)-expansions ⋮ Characterization of 2-Pisot elements in the field of Laurent series over a finite field ⋮ The smallest \(2\)-Pisot numbers in \(\mathbb{F}_q ((X^{-1}))\) where \(q\) is different from the power of \(2\) ⋮ A proof of the Erdős-Joó-Komornik conjecture in the case of formal power series ⋮ On families of Pisot $E$-sequences ⋮ Unnamed Item ⋮ Rigidity, weak mixing, and recurrence in abelian groups ⋮ Transcendental continued β-fraction with quadratic pisot basis over Fq((x-1))

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