Algebraic Independence of Certain Power Series

Nishioka, K.

doi:10.1007/978-1-4612-5788-2_10

K. Nishioka²

Part of the book series: Progress in Mathematics ((PM,volume 22))

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Abstract

According to a theorem of Liouville [6], in 1844, if θ is an algebraic number of degree n > 1, then any approximation by rationals, p/q has the property.

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Authors and Affiliations

Department of Mathematics, Nara Women’s University, Kita-Uoya Nishimachi, Nara, 630, Japan
K. Nishioka

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K. Nishioka
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Editors and Affiliations

Mathématique, Université de Paris-Sud Centre d’Orsay, Bâtiment 425, 91405, Orsay Cédex, France
Catherine Goldstein

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Nishioka, K. (1990). Algebraic Independence of Certain Power Series. In: Goldstein, C. (eds) Séminaire de Théorie des Nombres, Paris 1987–88. Progress in Mathematics, vol 22. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5788-2_10

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DOI: https://doi.org/10.1007/978-1-4612-5788-2_10
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-5790-5
Online ISBN: 978-1-4612-5788-2
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