Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic
William Cherry, Cristina Toropu
TL;DR
This paper extends the ABC theorems to non-Archimedean entire functions of multiple variables across all characteristics, broadening the scope of classical results in number theory and complex analysis.
Contribution
It introduces generalized ABC theorems applicable to non-Archimedean entire functions of several variables in arbitrary characteristic, a significant extension of existing theorems.
Findings
Proved generalized ABC theorems for non-Archimedean entire functions
Applicable to functions in arbitrary characteristic
Broadens understanding of vanishing sums in non-Archimedean analysis
Abstract
We prove generalized ABC theorems for vanishing sums of non-Archimedean entire functions of several variables in arbitrary characteristic.
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