[Propriétés algébriques d'une classe d'exponentielles]
In this Note we give an algebraic construction of a class of p-adic exponentials of Artin–Hasse type which are convergent in the disk
Dans cette Note nous donnons une construction algébrique d'une classe d'exponentielles p-adiques du type d'Artin–Hasse qui sont convergentes dans le disque
Accepté le :
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Daniele Chinellato 1
@article{CRMATH_2007__344_3_187_0, author = {Daniele Chinellato}, title = {Algebraic properties of a class of \protect\emph{p}-adic exponentials}, journal = {Comptes Rendus. Math\'ematique}, pages = {187--190}, publisher = {Elsevier}, volume = {344}, number = {3}, year = {2007}, doi = {10.1016/j.crma.2006.12.001}, language = {en}, }
Daniele Chinellato. Algebraic properties of a class of p-adic exponentials. Comptes Rendus. Mathématique, Volume 344 (2007) no. 3, pp. 187-190. doi : 10.1016/j.crma.2006.12.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.12.001/
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-exponentials. II: Closed formula for the index, Journal de Théorie des Nombres de Bordeaux, Volume 28 (2016) no. 2, pp. 539-556 | DOI:10.5802/jtnb.952 | Zbl:1377.12004 - Dwork's 1994 Padova lectures on exponential modules, Arithmetic and Galois theories of differential equations. Proceedings of the summer school, `Galoisian and arithmetic theory of differential equations', CIRM, Luminy, France, September 21–25, 2009, Paris: Société Mathématique de France, 2011, pp. 347-405 | Zbl:1339.11097
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