D. Barbolosi, On the development of continued fractions with odd partial quotients, Monatshefte f???r Mathematik, vol.1, issue.2, pp.25-37, 1990.
DOI : 10.1007/BF01298850

A. Broise and Y. , Guivarc'h, Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée, Ann. Inst. Fourier (Grenoble ), pp.51-565, 2001.

K. Dajani and C. Kraaikamp, A note on the approximation by continued fractions under an extra condition, New York Journal of Mathematics, vol.3, pp.69-80, 1998.

C. Kraaikamp, A new class of continued fraction expansions, Acta Arith. LVII, pp.1-39, 1991.

K. Inoue and H. Nakada, The Modified Jacobi-Perron Algorithm over $\mathbf{F}_q(X)^d$, Tokyo Journal of Mathematics, vol.26, issue.2, pp.447-470, 2003.
DOI : 10.3836/tjm/1244208601

H. Jager and P. Liardet, Distributions arithm??tiques des d??nominateurs de convergents de fractions continues, Indagationes Mathematicae (Proceedings), vol.91, issue.2, pp.181-197, 1988.
DOI : 10.1016/S1385-7258(88)80026-X

URL : http://doi.org/10.1016/s1385-7258(88)80026-x

R. Natsui, On the group extension of the transformation associated to nonarchimedean continued fractions, preprint

M. Newman, Integral matrices, 1972.

V. N. Nolte, Some probabilistic results on the convergents of continued fractions, Indagationes Mathematicae, vol.1, issue.3, pp.381-389, 1990.
DOI : 10.1016/0019-3577(90)90025-I

]. J. Schulte, ¨ Uber die Jordansche Verallgemeinerung der Eulerschen Funktion , Results Math, pp.354-364, 1999.

F. Schweiger, The metrical theory of Jacobi-Perron algorithm, Lecture Notes in Mathematics, vol.334, 1973.
DOI : 10.1007/BFb0059845

F. Schweiger, Ergodic theory of fibred systems and metric number theory, 1995.

G. Shimura, Introduction to the arithmetic theory of automorphic functions , Kano Memorial Lectures, Iwanami Shoten, issue.1 11, 1971.

P. Szüsz, Verallgemeinerung und Anwendung eines Kusminschen Satzes, Acta Arith, vol.7, pp.149-160, 1962.

V. Berthé and L. , 161 rue Ada, F-34392 Montpellier, France berthe@lirmm.fr Hitoshi Nakada and Rie Natsui Dept