An ultrametric Nevanlinna’s second main theorem for small functions of a special type
Annales mathématiques Blaise Pascal, Volume 17 (2010) no. 2, p. 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 : https://doi.org/10.5802/ambp.291
Classification:  12H99
Keywords: Ultrametric Nevanlinna theory, Second main theorem
@article{AMBP_2010__17_2_425_0,
     author = {Jurvanen, Henna},
     title = {An ultrametric Nevanlinna's second main theorem for small functions of a special type},
     journal = {Annales math\'ematiques Blaise Pascal},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {17},
     number = {2},
     year = {2010},
     pages = {425-431},
     doi = {10.5802/ambp.291},
     mrnumber = {2778912},
     zbl = {1206.30062},
     language = {en},
     url = {http://www.numdam.org/item/AMBP_2010__17_2_425_0}
}
Jurvanen, Henna. 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. http://www.numdam.org/item/AMBP_2010__17_2_425_0/

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