Publications

On a family of 2-automatic sequences derived from ultimately periodic sequences and generating algebraic continued fractions In F2((1/T)) , arXiv:2212.00516 (Septembre 2022) arXiv
Period-doubling continued fractions are algebraic in characteristic 2 , arXiv:2204.01068 (Avril 2022) arXiv
(En collaboration avec Y. Hu, University of Science and Technology, Wuhan, China)
On particular families of hyperquadratic continued fraction in power series fields of odd characteristic , Journal of Integer Sequences, Volume 21, Issue 8, 2018 Pk-exp.pdf
Continued Fractions , arXiv:1711.11276 (Novembre 2017) arXiv
On a particular hyperquadratic continued fraction in F_p((T^-1)) with p>2, Preprint, 2017 ArXiv 1710.00613 and semiplat.pdf
Notes for a summer class on continued fractions (Beihang university, Beijing, P.R. China, 2017), Unpublished report .Beihang2017.pdf
A short history of some recent research on continued fractions in function fields , Unpublished report, 2017 ArXiv 1704.08959 and history.pdf
On a two-valued sequence and related continued fractions in power series fields , The Ramanujan Journal 45 (2018), 859-871 W.pdf.
(En collaboration avec B. Allombert, Universite de Bordeaux et N. Brisebarre, ENS-Lyon).
On certain recurrent and automatic sequences in finite fields , Journal of Algebra 478 (2017), 133-152 rasff.pdf.
(En collaboration avec J-Y. Yao, Tsinghua University, Beijing, China).
A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1 , Acta Arithmetica, 178.3 (2017), 249-256 hqcfpq1-p2.pdf
Hyperquadratic continued fractions and automatic sequences , Finite Fields and Their Applications 40 (2016), 46-60. ArXiv 1412.0388 and ly-FFA2016.pdf.
(En collaboration avec J-Y. Yao, Tsinghua University, Beijing, China).
On a quartic equation and two families of hyperquadratic continued fractions in power series fields , Moscow Journal of Combinatorics and Number Theory 6 (2016), 132-155 quart-2f-hq-psf.pdf .
(En collaboration avec Kh. Ayadi, Université de Sfax, Tunisia).
Hyperquadratic continued fractions in odd characteristic with partial quotients of degree 1 , Journal of Number Theory 149 (2015), 259-284. ly-JNT2015.pdf.
(En collaboration avec J-Y. Yao, Tsinghua University, Beijing, China).
On hyperquadratic continued fractions in power series fields over a finite field , (preprint, 2013), ArXiv 1402.4928.
Hyperquadratic power series in F_3((T^-1)) with partial quotients of degrees 1, The Ramanujan Journal 33.2 (2014), 219-226.hq-pq1-f3.pdf
(En collaboration avec D. Gomez, Universidad de Cantabria, Santander, Spain).
On the continued fraction expansion of the unique root in F(p) of the equation x^4+x^2-Tx-1/12=0 and other related hyperquadratic expansions , Finite Fields and Their Applications 18 (2012) 26-34.quart-gen.pdf
Contribution to a collective work:

Analytic Number Theory: Essays in Honour of Klaus Roth

Cambridge University Press

survey2009.pdf

Algebraic Continued Fractions in F_q((T^-1)) and reccurent sequences in F_q , Acta Arithmetica 133.3 (2008), 251-265.Acfrs.pdf
On Robbin's example of a continued fraction for a quartic power series over F13 , Journal of Number Theory 128 (2008), 1109-1115.Robbins.pdf
Continued fractions for hyperquadratic power series over a finite field , Finite Fields and Their Applications 14 (2008), 329-350.cfhqps.pdf
Hyperquadratic power series of degree four , Acta Arithmetica 124.3 (2006), 257-268.Hpsd4.pdf
(En collaboration avec A. W. Bluher, NSA, Maryland, USA).
Diophantine Approximation in Positive Characteristic , Proceedings of a Conference on Analytic Number Theory and Surronding Areas (Kyoto, Japan, October 2004). RIMS Kokyuroku 1511. 156-165.Kyoto2004.pdf.
On a family of sequences defined recursively in F_q^* (II) , Finite Fields and Their Applications 10 (2004), 551-565. Rseq2.pdf
(En collaboration avec J-J. Ruch, Université de Bordeaux).
On a family of sequences defined recursively in F_q^* , Finite Fields and Their Applications 9 (2003), 211-221. Rseq.pdf
(En collaboration avec J-J. Ruch, Université de Bordeaux).
Continued fractions for certain algebraic formal power series over a finite field , Proceedings of the Sixth International Conference on Finite Fields and Applications (Oaxaca, Mexico, May 2001). Springer. 220-228. Oaxaca.pdf
Flat power series over a finite field , Journal of Number Theory 95 (2002), 268-288. Flat.pdf
(En collaboration avec J-J. Ruch, Université de Bordeaux).
Algebraic and badly approximable power series over a finite field , Finite Fields and Their Applications 8 (2002), 91-107. Abaps.pdf
(En collaboration avec J-J. Ruch, Université de Bordeaux).
Quartic power series in F3((T^-1)) with bounded partial quotients , Acta Arithmetica XCV.1 (2000), 49-59.BPQ3.pdf

A survey of Diophantine Approximation in fields of power series , Monatshefte für Mathematik 130 (2000), 211-229.survey2000.pdf

Continued fractions for algebraic formal power series over a finite base field , Finite Fields and Their Applications 5 (1999), 46-56.FFA99.pdf

Differential equations and Diophantine Approximation in positive characteristic , Monatshefte für Mathematik 128 (1999), 1-6.dedapc.pdf
(En collaboration avec B. de Mathan, Université de Bordeaux).

Diophantine Approximation and continued fraction expansions of algebraic power series in positive characteristic , Journal of Number Theory 65.2 (1997), 206-225.DApc.pdf

Thue's Theorem in positive characteristic , Journal für die reine und angewandte Mathematik 473 (1996), 195-206.
(En collaboration avec B. de Mathan, Université de Bordeaux).

Thèse de Doctorat en Mathématiques pures à l'Université de Bordeaux (sous la direction de B. de Mathan) :

Approximation Diophantienne en caractéristique positive , soutenue en décembre 1996.these.pdf