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Journal Articles Complex Variables and Elliptic Equations Year : 2014

The p-adic Hayman conjecture when n = 2


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. .
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hal-01907022 , version 1 (28-10-2018)


  • HAL Id : hal-01907022 , version 1


Alain Escassut, Jacqueline Ojeda. The p-adic Hayman conjecture when n = 2. Complex Variables and Elliptic Equations, 2014. ⟨hal-01907022⟩
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