On a family of sequences defined recursively in  (II) |
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| Authors: | A Lasjaunias J -J Ruch |
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| Institution: | Laboratoire A2X, Université de Bordeaux I, 351, Cours de la Libération 33405, Talence, France |
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| Abstract: | This paper is a second part to previous work (see Finite Fields Appl. 9 (2003) 211). Different conjectures stated there are proven here. We are concerned with sequences (xi)i1 in
such that the continued fraction expansion x1T,x2T,…,xnT,…] in
is algebraic over
. These algebraic elements correspond in some way to quadratic real numbers for which the continued fraction expansion is well known. |
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| Keywords: | Power series over a finite field Finite fields Continued fractions |
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