Abstract
We establish a slowly moving target second main theorem for meromorphic functions on a non-Archimedean field, with counting functions truncated to level $1$. As an application, we show that two meromorphic functions on a non-Archimedean field must coincide if they share $q$ ($q \geq 5$) distinct small functions, ignoring multiplicities. Thus, our work improves the results in [2].
Funding Statement
The authors are supported by Institute of Mathematics, Vietnam Academy of Science and Technology, under grant number NVCC01.05/22-23 and by Vietnam's National Foundation for Science and Technology Development (NAFOSTED), under Grant Number 101.04-2021.41.
Citation
Ta Thi Hoai An. Nguyen Viet Phuong. "A Non-Archimedean Second Main Theorem for Small Functions and Applications." Taiwanese J. Math. 27 (5) 913 - 929, October, 2023. https://doi.org/10.11650/tjm/230701
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