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- W1746722248 abstract "The classical abc theorem for polynomials (often called Mason's the- orem) deals with nontrivial polynomial solutions to the equation a + b = c. It provides a lower bound for the number of distinct zeros of the polynomial abc in terms of dega, degb, and degc. We prove some local abc-type theorems for gen- eral analytic functions living on a reasonable bounded domainC, rather than on the whole of C. The estimates obtained are sharp, for any , and they imply (a generalization of) the original global abc theorem by a limiting argument." @default.
- W1746722248 created "2016-06-24" @default.
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- W1746722248 date "2010-04-20" @default.
- W1746722248 modified "2023-09-27" @default.
- W1746722248 title "LOCAL abc THEOREMS FOR ANALYTIC FUNCTIONS" @default.
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