Hilbert's tenth problem for lacunary entire functions of finite order

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dc.contributor.authorGarcia-Fritz, Natalia
dc.contributor.authorPasten, Hector
dc.date.accessioned2025-01-20T16:13:46Z
dc.date.available2025-01-20T16:13:46Z
dc.date.issued2024
dc.description.abstractIn 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.
dc.fuente.origenWOS
dc.identifier.doi10.1002/malq.202300046
dc.identifier.eissn1521-3870
dc.identifier.issn0942-5616
dc.identifier.urihttps://doi.org/10.1002/malq.202300046
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90405
dc.identifier.wosidWOS:001263305100001
dc.issue.numero2
dc.language.isoen
dc.pagina.final209
dc.pagina.inicio205
dc.revistaMathematical logic quarterly
dc.rightsacceso restringido
dc.titleHilbert's tenth problem for lacunary entire functions of finite order
dc.typeartículo
dc.volumen70
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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