Andreas-Stephan Elsenhans
Mehrdimensionale Kettenbr\"uche \"uber Funktionenk\"orpern unter Verwendung affiner Bruhat-Tits-Geb\"aude
Preprint series: Mathematica Gottingensis
MSC:
11J70
20E42
Abstract: In this paper the Bruhat-Tits-building over a function field is introduced and used, to describe the continued fraction. This description is used, to define a generalized continued fraction. Uniqueness, convergence and periodicity of this generalization is discussed.
Keywords: Bruhat-Tits-building, generalized continued fraction