Research Highlights

On a continued fraction algorithm in finite extensions of Qp and its metrical theory

Authors :- M Choudhuri, P Makadiya

Publication :-  Periodica Mathematica Hungarica, Springer Nature

We develop a continued fraction algorithm in finite extensions of generalising certain algorithms in , and prove the finiteness property for certain small degree extensions. We also discuss the metric properties of the associated continued fraction maps for our algorithms using subsequence ergodic theory and moving averages.