The p-adic Hayman conjecture when n = 2
Résumé
Let IK be a complete ultrametric algebraically closed field of characteristic 0. According to the p-adic Hayman conjecture, given a transcendental meromorphic function f in IK, for each n ∈ IN * , f n f takes every value b = 0 infinitely many times. It was proven by the second author for n ≥ 3. Here we prove it for n = 2 by using properties of meromorphic functions having finitely many multiple poles. .
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)
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