S-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion
نویسندگان
چکیده
منابع مشابه
On Fields of Totally S-adic Numbers
Given a finite set S of places of a number field, we prove that the field of totally S-adic algebraic numbers is not Hilbertian. The field of totally real algebraic numbers Qtr, the field of totally p-adic algebraic numbers Qtot,p, and, more generally, fields of totally S-adic algebraic numbers Qtot,S, where S is a finite set of places of Q, play an important role in number theory and Galois th...
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15 صفحه اولComputable p–adic Numbers
In the present work the notion of the computable (primitive recursive, polynomially time computable) p–adic number is introduced and studied. Basic properties of these numbers and the set of indices representing them are established and it is proved that the above defined fields are p–adically closed. Using the notion of a notation system introduced by Y. Moschovakis an abstract characterizatio...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2017
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2016.10.016