Diophantine sets of polynomials over number fieldsReport as inadecuate

Diophantine sets of polynomials over number fields - Download this document for free, or read online. Document in PDF available to download.

(2010)PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.138(8).p.2715-2728 Mark abstract Let R be a number field or a recursive subring of a number field and consider the polynomial ring R[T]. We show that the set of polynomials with integer coefficients is diophantine over R[7]. Applying a result by Denef, this implies that every recursively enumerable subset of R[T](k) is diophantine over R[T].

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1073291

Author: Jeroen Demeyer

Source: https://biblio.ugent.be/publication/1073291


Related documents