A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Diophantine Definability and Decidability in Large Subrings of Totally Real Number Fields and Their Totally Complex Extensions of Degree 2

2002
*
Journal of Number Theory
*

Let M be a number field. Let W be a set of non-archimedean primes of M. Let O M;W ¼ fx 2 M j ord p x50 8peW g: The author continues her investigation of Diophantine definability and decidability in rings O M;W where W is infinite. In this paper, she improves her previous density estimates and extends the results to the totally complex extensions of degree 2 of the totally real fields. In particular, the following results are proved: (1) Let M be a totally real field or a totally complex

doi:10.1016/s0022-314x(01)92759-3
fatcat:nfau4nyfura25j7tsftc3xgeaa