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References
Christol, G., Kamae, T., Mendès-France, M. et Rauzy, G., Suites algébriques, automates et substitutions, Bull. Soc. Math. France, 108 (1980), 401–419.
Deligne, P., Intégration sur un cycle évanescent, Invent. Math., 76 (1983), 129–143.
Fliess, M., Sur divers produits de séries formelles, Bull. Soc. Math. France, 102 (1974), 181–191.
Furstenberg, H., Algebraic functions over finite fields, J. Algebra, 7 (1967), 271–277.
Kurke, H., Pfister, G. und Roczen, M., “Henselsche Ring und algebraische Geometrie,” VEB Deutscher Verlag der Wissenschaften, Berlin, 1975.
Mendès-France, M. and Van der Poorten, A.-J., Automata and the arithmetic of formal power series, Acta Arith., XLVI (1986), 211–214.
Allouche, J.-P., Mendès-France, M. et Van der Poorten, A.-J., Indépendence algébrique de certaines séries formelles, Bull. Soc. Math. France, 116 (1988), 449–454.
Harase, T., Algebraic elements in formal power series rings, Israel J. Math., 63 (1988), 281–288.
Harase, T., Algebraic elements in formal power series rings II, Israel J. Math., 67 (1989), 62–66.
Denef, J. and Lipshitz, L., Algebraic power series and diagonals, J. Number Theory, 26 (1987), 46–67.
Sharif, H. and Woodcock, C.F., Algebraic functions over a field of positive characteristic and Hadamard products, J. London Math. Soc., (2) 37 (1988), 395–403.
Allouche, J.-P., Notes sur un article de Shalif et Woodcock, Sém. Théorie des Nombres, Bordeaux, Série 2,1,1 (1989), 163–187.
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Harase, T. (1990). Algebraic dependence of formal power series. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097129
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DOI: https://doi.org/10.1007/BFb0097129
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