Publications
 
 


     
  1. 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
     
  2. 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)
     
  3. 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
     
  4. Continued Fractions ,   arXiv:1711.11276 (Novembre 2017) arXiv
     
  5. On a particular hyperquadratic continued fraction in F_p((T^-1)) with p>2,   Preprint, 2017 ArXiv 1710.00613 and semiplat.pdf
     
  6. Notes for a summer class on continued fractions (Beihang university, Beijing, P.R. China, 2017),   Unpublished report .Beihang2017.pdf
     
  7. A short history of some recent research on continued fractions in function fields ,   Unpublished report, 2017 ArXiv 1704.08959 and history.pdf
     
  8. 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).
     
  9. 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).
     
  10. 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
     
  11. 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).
     
  12. 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).
     
  13. 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).
     
  14. On hyperquadratic continued fractions in power series fields over a finite field ,  (preprint, 2013) ArXiv 1402.4928.
     
  15. 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).
     
  16. 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
     
  17. Contribution to a collective work:

  18. Analytic Number Theory: Essays in Honour of Klaus Roth ,  Cambridge University Press (2009),  297-305. survey2009.pdf
     
  19. Algebraic Continued Fractions in F_q((T^-1)) and reccurent sequences in F_q ,  Acta Arithmetica  133.3 (2008),  251-265.Acfrs.pdf
     
  20. 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
     
  21. Continued fractions for hyperquadratic power series over a finite field ,  Finite Fields and Their Applications 14 (2008),  329-350.cfhqps.pdf
     
  22. Hyperquadratic power series of degree four ,  Acta Arithmetica 124.3 (2006),  257-268.Hpsd4.pdf
    (En collaboration avec A. W. Bluher, NSA, Maryland, USA).
     
  23. 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.
     
  24. 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).
     
  25. 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).
     
  26. 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
     
  27. 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).
     
  28. 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).
     
  29. Quartic power series in F3((T^-1)) with bounded partial quotients ,   Acta Arithmetica  XCV.1 (2000),  49-59.BPQ3.pdf

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

  32.  
  33. Continued fractions for algebraic formal power series over a finite base field ,  Finite Fields and Their Applications 5 (1999),  46-56.FFA99.pdf

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  35. 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).
     
  36. Diophantine Approximation and continued fraction expansions of algebraic power series in positive characteristic , Journal of Number Theory  65.2 (1997),  206-225.DApc.pdf

  37.  
  38. 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).
     
  39. Thèse de Doctorat en Mathématiques pures à l'Université de Bordeaux (sous la direction de B. de Mathan) :

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