Unique range sets of 5 points for unbounded analytic functions inside an open disk
Résumé
Let IK be a complete algebraically closed p-adic field of characteristic p ≥ 0 and let Au(d(a, R −)) be the set of unbounded analytic functions inside the disk d(a, R −) = {x ∈ IK | : |x − a| < R}. We recall the definition of urscm and the ultrametric Nevanlinna Theory on 3 small functions in order to find new urscm for Au(d(a, R −)). Results depend on the characteristic. In characteristic 0, we can find urscm of 5 points. Some results on bi-urscm are given for meromorphic functions.
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)
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