Theorie de Nevanlinna p-adique.
Applications de la théorie de Nevanlinna p-adique.
Sur les courbes holomorphes -adiques
Applications of the -adic Nevanlinna theory to functional equations
Let be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We apply the -adic Nevanlinna theory to functional equations of the form , where , are meromorphic functions in , or in an “open disk”, satisfying conditions on the order of its zeros and poles. In various cases we show that and must be constant when they are meromorphic in all , or they must be quotients of bounded functions when they are meromorphic in an “open disk”. In particular,...
Unique range sets in positive characteristic
Sur les équations fonctionelles p-adiques aux q-différences.
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