P-adic continued fractions

被引：0
|
作者：
Jordan Hirsh
Lawrence C. Washington
机构：
[1] University of Maryland,Dept. of Mathematics
来源：
The Ramanujan Journal | 2011年 / 25卷
关键词：
-adic continued fraction; Khinchin’s theorem; 11A55; 11J70; 11K50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study Schneider’s p-adic continued fraction algorithms. For p=2, we give a combinatorial characterization of rational numbers that have terminating expansions. For arbitrary p, we give data showing that rationals with terminating expansions are relatively rare. Finally, we prove an analogue of Khinchin’s theorem.
引用
收藏
页码：389 / 403
页数：14
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