R Korhonen - Computational Methods and Function Theory, 2012 - Springer
It is shown that if n∈ ℕ, c∈ ℂ n, and three distinct values of a meromorphic function f: ℂ n sr 1 of hyper-order gV (f) strictly less than 2/3 have forward invariant pre-images with respect to …
During what Vietnamese call the American War, Alexander Grothendieck spent three weeks teaching mathematics in and near Hanoi. Ho\ang Xu\^ an S\'inh took notes on his lectures …
arXiv:0708.0913v1 [math.CV] 7 Aug 2007 Page 1 arXiv:0708.0913v1 [math.CV] 7 Aug 2007 AN EXPLICIT ESTIMATE ON MULTIPLICITY TRUNCATION IN THE SECOND MAIN THEOREM …
A Boutabaa, A Escassut - Proceedings of the Edinburgh …, 2001 - cambridge.org
URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC Page 1 Proceedings of the Edinburgh Mathematical Society (2001) 44, 485–504 c URS AND URSIMS …
M Ru - Proceedings of the American Mathematical Society, 2001 - ams.org
A NOTE ON p-ADIC NEVANLINNA THEORY 1. Introduction Nevanlinna theory is a far-reaching generalization of Picard’s theorem. The Page 1 PROCEEDINGS OF THE AMERICAN …
HH Khoai, TTH An - Journal of Number Theory, 2001 - Elsevier
Let W be an algebraically closed field of characteristic zero, and let K be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. A (K) will …
RL Benedetto - American journal of mathematics, 2003 - muse.jhu.edu
We present a p-adic and non-archimedean version of some classical complex holomorphic function theory. Our main result is an analogue of the Five Islands Theorem from Ahlfors' …
In 1879, Picard established the well-known and beautiful result that a transcendental entire function assumes all values infinitely often with one exception. Since then Hadamard (1893) …
W Cherry, M Ru - American journal of mathematics, 2004 - muse.jhu.edu
We prove a geometric logarithmic derivative lemma for rigid analytic mappings to algebraic varieties in characteristic zero. We use the lemma to give a new and simpler proof (at least in …