On different in orders in an algebraic number field and special units connected with it
E. Dade, O. Taussky (1964)
Acta Arithmetica
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E. Dade, O. Taussky (1964)
Acta Arithmetica
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W. Narkiewicz (1962)
Acta Arithmetica
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Luisa Mazzi, Marco Sabatini (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study isochronous centers of some classes of plane differential systems. We consider systems with constant angular speed, both with homogeneous and nonhomogenous nonlinearities. We show how to construct linearizations and first integrals of such systems, if a commutator is known. Commutators are found for some classes of systems. The results obtained are used to prove the isochronicity of some classes of centers, and to find first integrals for a class of Liénard equations with isochronous...
Jan-Hendrik Evertse (1986)
Acta Arithmetica
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F. Halter-Koch, Władysław Narkiewicz (1992)
Journal de théorie des nombres de Bordeaux
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L Carlitz (1962)
Acta Arithmetica
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Fabio Ancona (1996)
Annales de l'I.H.P. Analyse non linéaire
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