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Specialisation and Reduction of Continued Fractions of Formal Power Series
Authors:Alfred J. Van Der Poorten
Affiliation:(1) ceNTRe for Number Theory Research, 1 Bimbil Place, Killara, Sydney, 2071, Australia
Abstract:
We discuss and illustrate the behaviour of the continued fraction of a formal power series under specialisation of parameters or their reduction modulo p and sketch some applications of the reduction theorem here proved.To Jean-Louis Nicolas in celebration of his sixtieth birthday2000 Mathematics Subject Classification: Primary—11J70, 11A55, 11J68
Keywords:continued fraction expansion  formal power series  function field of characteristic zero
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