Existential definability with bounds on archimedean valuations

Shlapentokh, Alexandra

J. Symbolic Logic, Tome 68 (2003) no. 1, p. 860- 878 / Harvested from Project Euclid

Résumé

We show that a solution to Hilbert’s Tenth Problem in the rings of algebraic integers and bigger subrings of number fields where it is currently not known, is equivalent to a problem of bounding archimedean valuations over non-real number fields.

Publié le : 2003-09-14
Classification:

@article{1058448445,
     author = {Shlapentokh, Alexandra},
     title = {Existential definability with bounds on archimedean valuations},
     journal = {J. Symbolic Logic},
     volume = {68},
     number = {1},
     year = {2003},
     pages = { 860- 878},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1058448445}
}

Shlapentokh, Alexandra. Existential definability with bounds on archimedean valuations. J. Symbolic Logic, Tome 68 (2003) no. 1, pp.  860- 878. http://gdmltest.u-ga.fr/item/1058448445/