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Preprint Number 2652
2652. Hector Pasten Hilbert's tenth problem for rings of holomorphic functions of bounded order E-mail: Submission date: 18 June 2024 Abstract: One of the main open problems in the context of extensions of Hilbert's tenth problem (HTP) is the case of the ring of complex entire functions in one variable. Our main result provides a step towards an answer: For every ρ ≥ 0, we give a negative solution to the analogue of HTP in the ring of complex entire functions in one variable of growth order at most ρ. Mathematics Subject Classification: Primary: 03B25, Secondary: 30D15, 11U05 Keywords and phrases: |
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