On a family of sequences defined recursively in <img src="http://www.sciencedirect.com/cache/MiamiImageURL/B6WFM-4B9K70D-2-1/0?wchp=dGLzVlb-zSkzV" alt="Image" title="Image" style="vertical-align:bottom" border="0" height=19 width="16"/> (II)期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On a family of sequences defined recursively in (II)

Authors:	A. Lasjaunias J. -J. Ruch

Affiliation:	Laboratoire A2X, Université de Bordeaux I, 351, Cours de la Libération 33405, Talence, France

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 (x_i)_i1 in such that the continued fraction expansion [x₁T,x₂T,…,x_nT,…] in is algebraic over . These algebraic elements correspond in some way to quadratic real numbers for which the continued fraction expansion is well known.

Keywords:	Power series over a finite field Finite fields Continued fractions
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