Annales Mathématiques
Blaise Pascal
no. 2
An ultrametric Nevanlinna’s second main theorem for small functions of a special type
[Le theoréme de Nevanlinna ultramétrique pour petites fonctions]
Henna Jurvanen1
1 Department of Physics and Mathematics University of Eastern Finland P.O.Box 111 Joensuu, FI-80101 FINLAND
Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 425-431.

En théorie de Nevanlinna ultramétrique, le second théorème fondamental de Nevanlinna pour des petites fonctions a seulement été établi pour trois petites fonctions. Dans cet article, on montre un second théorème fondamental pour q petites fonctions d’un certain type quand la caractéristique résiduelle du corps est zero.

In ultrametric Nevanlinna theory, the Nevanlinna’s second main theorem for small functions has only been proved in the case of at most three small functions. In this paper, we prove a second main theorem for q small functions of a special type when the residue characteristic of the field is zero.

DOI : 10.5802/ambp.291
Classification : 12H99
Keywords: Ultrametric Nevanlinna theory, Second main theorem
Mot clés : Théorie de Nevanlinna ultramétrique

Henna Jurvanen 1

1 Department of Physics and Mathematics University of Eastern Finland P.O.Box 111 Joensuu, FI-80101 FINLAND 
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Henna Jurvanen. An ultrametric Nevanlinna’s second main theorem for small functions of a special type. Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 425-431. doi : 10.5802/ambp.291. https://ambp.centre-mersenne.org/articles/10.5802/ambp.291/

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