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Independence of continued fractions in the field of Laurent series

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Abstract

Criteria for independence, both algebraic and linear, are derived for continued fraction expansions of elements in the field of Laurent series. These criteria are then applied to examples involving elements recently discovered to have explicit series and continued fraction expansions.

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Authors and Affiliations

  1. Department of Mathematics, Chulalongkorn University, Bangkok, 10330, Thailand

    Tuangrat Chaichana

  2. Department of Mathematics, Kasetsart University, Bangkok, 10900, Thailand

    Vichian Laohakosol

Authors
  1. Tuangrat Chaichana
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  2. Vichian Laohakosol
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Correspondence to Tuangrat Chaichana.

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Communicated by Attila Pethő

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Chaichana, T., Laohakosol, V. Independence of continued fractions in the field of Laurent series. Period Math Hung 55, 35–59 (2007). https://doi.org/10.1007/s10998-007-3035-3

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  • DOI: https://doi.org/10.1007/s10998-007-3035-3

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