Normic Continued Fractions in Totally and Tamely Ramified Extensions of Local Fields.

摘要

The goal of this paper is to introduce a new way of constructing continued fractions in a Galois, totally and tamely ramified extension of local fields. We take a set of elements of a special form using the norm of that extension and we show that the set such defined is dense in the field by the means of continued fractions.