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- W2034650889 abstract "The classical Mason–Stothers theorem deals with nontrivial polynomial solutions to the equation a + b = c. It provides a lower bound on the number of distinct zeros of the polynomial abc in terms of deg a, deg b and deg c. We extend this to general analytic functions living on a reasonable bounded domain $${Omegasubset{mathbb C}}$$ , rather than on the whole of $${{mathbb C}}$$ . The estimates obtained are sharp, for any Ω, and a generalization of the original result on polynomials can be recovered from them by a limiting argument." @default.
- W2034650889 created "2016-06-24" @default.
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- W2034650889 date "2011-02-26" @default.
- W2034650889 modified "2023-10-13" @default.
- W2034650889 title "Zeros of analytic functions, with or without multiplicities" @default.
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- W2034650889 doi "https://doi.org/10.1007/s00208-011-0655-2" @default.
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