MODNET

Research Training Network in Model Theory

Publications > Preprint server > Preprint Number 430
Preprint Number 430
430. Jennifer Park A universal first order formula defining the ring of integers in a number field E-mail: Submission date: 1 March 2012. Abstract: We show that the complement of the ring of integers in a number field K is Diophantine. This means the set of ring of integers in K can be written as {t in K | for all x_1, ..., x_N in K, f(t,x_1, ..., x_N) is not 0}. We will use global class field theory and generalize the ideas originating from Koenigsmann's recent result giving a universal first order formula for Z in Q. Mathematics Subject Classification: 11R37 (Primary) 11R52, 11U05 (Secondary) Keywords and phrases: |

Last updated: March 22 2012 22:13 | Please send your corrections to: |