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*A Generalized abc-Conjecture over Function Fields*

Authors:	Pei-Chu HuChung-Chun Yang

Affiliation:	^a Department of Mathematics, Shandong University, Jinan, 250100, Shandong, China ^b Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

Abstract:	In this paper, we derive a generalized version of abc-conjecture and prove its analogue for non-Archimedean entire functions as well as a generalized Mason's theorem on polynomials.

Keywords:	generalized abc-conjecture non-Archimedean entire functions meromorphic functions characteristic functions linear independent
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