An ultrametric Nevanlinna’s second main theorem for small functions of a special type
Annales mathématiques Blaise Pascal, Volume 17 (2010) no. 2, pp. 425-431.

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.

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.

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, Volume 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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