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- W4385775251 abstract "In the context of Hilbert's tenth problem, an outstanding open case is that of complex entire functions in one variable. A negative solution is known for polynomials (by Denef) and for exponential polynomials of finite order (by Chompitaki, Garcia-Fritz, Pasten, Pheidas, and Vidaux), but no other case is known for rings of complex entire functions in one variable. We prove a negative solution to the analogue of Hilbert's tenth problem for rings of complex entire functions of finite order having lacunary power series expansion at the origin." @default.
- W4385775251 created "2023-08-12" @default.
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- W4385775251 date "2023-08-10" @default.
- W4385775251 modified "2023-09-27" @default.
- W4385775251 title "Hilbert's tenth problem for lacunary entire functions of finite order" @default.
- W4385775251 doi "https://doi.org/10.48550/arxiv.2308.05714" @default.
- W4385775251 hasPublicationYear "2023" @default.
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