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arXiv · 2007.05387

The order conjecture fails in S

Christopher J. Bishop
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Abstract

We construct an entire function $f$ with only three singular values whose order of growth can change under a quasiconformal equivalence. This is a counterexample to the Order Conjecture in the Speiser class ${\mathcal S}$ of entire functions.

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Christopher J. Bishop. 2020-07-10. The order conjecture fails in S. https://doi.org/10.1007/s11854-015-0031-3

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