Critères de non-automaticité et leurs applications

Jia-Yan Yao

Acta Arithmetica (1997)

  • Volume: 80, Issue: 3, page 237-248
  • ISSN: 0065-1036

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Jia-Yan Yao. "Critères de non-automaticité et leurs applications." Acta Arithmetica 80.3 (1997): 237-248. <http://eudml.org/doc/207040>.

@article{Jia1997,
author = {Jia-Yan Yao},
journal = {Acta Arithmetica},
keywords = {transcendence in finite characteristic; automatic sequence; criteria of non-automaticity; formal power series of Baum-Sweet; partial quotients of the continued fraction expansion},
language = {eng},
number = {3},
pages = {237-248},
title = {Critères de non-automaticité et leurs applications},
url = {http://eudml.org/doc/207040},
volume = {80},
year = {1997},
}

TY - JOUR
AU - Jia-Yan Yao
TI - Critères de non-automaticité et leurs applications
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 3
SP - 237
EP - 248
LA - eng
KW - transcendence in finite characteristic; automatic sequence; criteria of non-automaticity; formal power series of Baum-Sweet; partial quotients of the continued fraction expansion
UR - http://eudml.org/doc/207040
ER -

References

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  1. [1] J.-P. Allouche, Sur le développement en fraction continue de certaines séries formelles, C. R. Acad. Sci. Paris 307 (1988), 631-633. Zbl0657.10035
  2. [2] L. Baum and M. Sweet, Continued fractions of algebraic power series in characteristic 2, Ann. of Math. 103 (1976), 593-610. Zbl0312.10024
  3. [3] G. Christol, T. Kamae, M. Mendès France et G. Rauzy, Suites algébriques, automates et substitutions, Bull. Soc. Math. France 108 (1980), 401-419. Zbl0472.10035
  4. [4] A. Cobham, Uniform tag sequences, Math. Systems Theory 6 (1972), 164-192. Zbl0253.02029
  5. [5] B. de Mathan, Irrationality measures and transcendence in positive characteristic, J. Number Theory 54 (1995), 93-112. Zbl0832.11022
  6. [6] M. Koskas, Complexité de suites et fonction de Carlitz, thèse, Université de Bordeaux I, 1995. 
  7. [7] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, 1974. 
  8. [8] W. H. Mills and D. P. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986), 388-404. Zbl0591.10021
  9. [9] M. Mkaouar, Sur le développement en fraction continue de la série de Baum et Sweet, Bull. Soc. Math. France 123 (1995), 361-374. 

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