@article{bwmeta1.element.bwnjournal-article-aav69i1p75bwm,
author = {Laurent Denis},
title = {Ind\'ependance alg\'ebrique et exponentielle de Carlitz},
journal = {Acta Arithmetica},
volume = {69},
year = {1995},
pages = {75-89},
language = {fr},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav69i1p75bwm}
}
Laurent Denis. Indépendance algébrique et exponentielle de Carlitz. Acta Arithmetica, Tome 69 (1995) pp. 75-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav69i1p75bwm/
[000] [A] G. Anderson, t-motives, Duke Math. J. 53 (1986), 457-502.
[001] [A-T] G. Anderson and D. Thakur, Tensor powers of the Carlitz module and zeta values, Ann. of Math. 132 (1990), 159-191. | Zbl 0713.11082
[002] [B-B-T] P.-G. Becker, W. D. Brownawell and R. Tubbs, Gelfond's theorem for Drinfeld modules, Michigan Math. J. 41 (1994), 219-233, and Abstracts Amer. Math. Soc. 82 (1992), 359.
[003] [C] L. Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), 137-168. | Zbl 0012.04904
[004] [D1] L. Denis, Théorème de Baker et modules de Drinfeld, J. Number Theory 43 (1993), 203-215. | Zbl 0767.11029
[005] [D2] L. Denis, Remarques sur la transcendance en caractéristique finie, C. R. Acad. Sci. Canada 14 (1992), 157-162.
[006] [D3] L. Denis, Transcendance et dérivées de l'exponentielle de Carlitz, dans: Séminaire de Théorie des Nombres de Paris, Birkhäuser, 1993, 1-21.
[007] [D4] L. Denis, Dérivées d'un module de Drinfeld et transcendance, soumis pour publication.
[008] [D5] L. Denis, Indépendance algébrique sur le module de Carlitz, C. R. Acad. Sci. Paris Sér. I 317 (1993), 913-915.
[009] [L] S. Lang, Algebra, 3rd ed., Addison-Wesley, 1993.
[010] [T1] A. Thiery, Indépendance algébrique de périodes et quasi-périodes de modules de Drinfeld, dans: The Arithmetic of Function Fields, Proceedings of the Workshop at Ohio State University, D. Goss, D. Hayes, M. Rosen (eds.), Walter de Gruyter, 1992, 265-284.
[011] [T2] A. Thiery, Théorème de Lindemann-Weierstrass pour les modules de Drinfeld, Thèse de l'Université de Caen, et preprint, 1992.
[012] [W] L. Wade, Transcendence properties of the Carlitz Ψ function, Duke Math. J. 13 (1946), 79-85. | Zbl 0063.08107
[013] [Wa] M. Waldschmidt, Nombres transcendants, Lecture Notes in Math. 402, Springer, 1974. | Zbl 0302.10030
[014] [Y1] J. Yu, Transcendence theory over function fields, Duke Math. J. 52 (1985), 517-527. | Zbl 0574.12015
[015] [Y2] J. Yu, Transcendence and Drinfeld modules: Several variables, ibid. 58 (1989), 559-575. | Zbl 0687.12008
[016] [Y3] J. Yu, Transcendence and special zeta values in characteristic p, Ann. of Math. 134 (1991), 1-23. | Zbl 0734.11040
[017] [Y4] J. Yu, Analytic homomorphisms into Drinfeld modules, preprint, 1991.
[018] [Y5] J. Yu, A six exponentials theorem in finite characteristic, Math. Ann. 272 (1985), 91-98. | Zbl 0574.12014
[019] [Z-S] O. Zariski and P. Samuel, Commutative Algebra, Vol. 1, Springer, 1979.