Hilbert's tenth problem for rings of holomorphic functions of bounded order
Complex Variables
2024-06-19 v1 Logic
Number Theory
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 , 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 .
Cite
@article{arxiv.2406.12791,
title = {Hilbert's tenth problem for rings of holomorphic functions of bounded order},
author = {Hector Pasten},
journal= {arXiv preprint arXiv:2406.12791},
year = {2024}
}