Let 𝕂 be a complete and algebraically closed non-Archimedean valued field. Following ideas of Marc Krasner and Philippe Robba, we define K-meromorphic functions from 𝕂 to 𝕂. We show that the Nevanlinna theory for functions of a single complex variable may be extended to those functions (and consequently to meromorphic functions).
@article{bwmeta1.element.bwnjournal-article-apmv57z2p135bwm,
author = {Capi Corrales Rodrig\'a\~nez},
title = {Nevanlinna theory on the p-adic plane},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {135-147},
zbl = {0765.30031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv57z2p135bwm}
}
Capi Corrales Rodrigáñez. Nevanlinna theory on the p-adic plane. Annales Polonici Mathematici, Tome 57 (1992) pp. 135-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv57z2p135bwm/
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