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Irrational continued fractions

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Analytic Theory of Continued Fractions III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1406))

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Abstract

Irrational continued fractions are studied systematically by the aid of tails. The theory exposed extends the classical theory on irrational continued fractions.

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References

  1. H. Tietze: Über Kriterien für Konvergenz und Irrationalität unendlicher Kettenbrüche, Math. Ann. 70, 1911.

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  4. F. Bernstein and O. Szász: Über Irrationalität unendlicher Kettenbrüche mit einer Anwendung auf die Reihe Σq v2xv, Math. Ann. 76, 1915, 295–300.

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  6. R.M. Hovstad: Continued fraction tails and irrationality, Rocky Mountain J. Math. (to appear).

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  7. R.M. Hovstad: The classical irrationality problem for T-fractions, Proc. Amer. Math. Soc. (to appear).

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  8. H. Waadeland: Tales about tails, Proc. Amer. Math. Soc. 90 (1984), 57–64.

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  9. W.J. Thron (ed.): Analytic Theory of Continued Fractions II, Proceedings, Pitlochry and Aviemore, 1985, Lecture Notes in Mathematics, 1199, Springer-Verlag. Berlin, Heidelberg, 1986.

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Authors
  1. R. M. Hovstad
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Editor information

Lisa Jacobsen

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© 1989 Springer-Verlag

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Hovstad, R.M. (1989). Irrational continued fractions. In: Jacobsen, L. (eds) Analytic Theory of Continued Fractions III. Lecture Notes in Mathematics, vol 1406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096163

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  • DOI: https://doi.org/10.1007/BFb0096163

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51830-3

  • Online ISBN: 978-3-540-46820-2

  • eBook Packages: Springer Book Archive

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