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
相关论文
共 50 条
  • [21] Convergence conditions for p-adic continued fractions
    Nadir Murru
    Giuliano Romeo
    Giordano Santilli
    Research in Number Theory, 2023, 9
  • [22] Convergence conditions for p-adic continued fractions
    Murru, Nadir
    Romeo, Giuliano
    Santilli, Giordano
    RESEARCH IN NUMBER THEORY, 2023, 9 (03)
  • [23] A NEW ALGORITHM FOR p-ADIC CONTINUED FRACTIONS
    Murru, Nadir
    Romeo, Giuliano
    MATHEMATICS OF COMPUTATION, 2024, 93 (347) : 1309 - 1331
  • [24] REMARKS ON PERIODS OF P-ADIC CONTINUED FRACTIONS
    BEDOCCHI, E
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1989, 3A (02): : 209 - 214
  • [25] On the metric theory of p-adic continued fractions
    Hancl, J.
    Jassova, A.
    Lertchoosakul, P.
    Nair, R.
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2013, 24 (01): : 42 - 56
  • [26] Schneider's p-adic continued fractions
    Pejkovic, T.
    ACTA MATHEMATICA HUNGARICA, 2023, 169 (01) : 191 - 215
  • [27] On the periodicity of an algorithm for p-adic continued fractions
    Murru, Nadir
    Romeo, Giuliano
    Santilli, Giordano
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2023, 202 (06) : 2971 - 2984
  • [28] On periodicity of p-adic Browkin continued fractions
    Capuano, Laura
    Murru, Nadir
    Terracini, Lea
    MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (02)
  • [29] On the digits of Schneider's p-adic continued fractions
    Hu, Hui
    Yu, Yueli
    Zhao, Yanfen
    JOURNAL OF NUMBER THEORY, 2018, 187 : 372 - 390
  • [30] Transcendence of Thue–Morse p-Adic Continued Fractions
    Rafik Belhadef
    Henri-Alex Esbelin
    Tahar Zerzaihi
    Mediterranean Journal of Mathematics, 2016, 13 : 1429 - 1434
12345