p-ADIC CONTINUED FRACTIONS (Ⅰ)

被引：0
|
作者：
王连祥
机构：
[1] Institute of Mathematics
[2] Beijing
[3] Academia Sinica
来源：
Science China Mathematics | 1985年 / 10期
关键词：
Th; p-ADIC CONTINUED FRACTIONS;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a new kind of p-adic continued fractions is introduced. We obtain some criteria of the irrationality, the transcendence and algebraic independence for p-adic numbers.
引用
收藏
页码：1009 / 1017
页数：9
相关论文
共 50 条
  • [41] On the Maillet-Baker Ruban Continued Fractions in the p-Adic Field
    Ammous, B.
    MATHEMATICAL NOTES, 2023, 114 (5-6) : 659 - 667
  • [42] CONVERGENCE, FINITENESS AND PERIODICITY OF SEVERAL NEW ALGORITHMS OF p-ADIC CONTINUED FRACTIONS
    Wang, Zhaonan
    Deng, Yingpu
    MATHEMATICS OF COMPUTATION, 2024, 93 (350) : 2921 - 2942
  • [43] Convergence conditions for p-adic continued fractions (vol 9, 66, 2023)
    Murru, Nadir
    Romeo, Giuliano
    Santilli, Giordano
    RESEARCH IN NUMBER THEORY, 2024, 10 (01)
  • [44] P-adic hyperbolic rational fractions
    Bézivin, JP
    ACTA ARITHMETICA, 2004, 112 (02) : 151 - 175
  • [45] Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions
    Murru, Nadir
    Terracini, Lea
    RAMANUJAN JOURNAL, 2021, 56 (01): : 67 - 86
  • [46] Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions
    Nadir Murru
    Lea Terracini
    The Ramanujan Journal, 2021, 56 : 67 - 86
  • [47] MULTIDIMENSIONAL p-ADIC CONTINUED FRACTION ALGORITHMS
    Saito, Asaki
    Tamura, Jun-Ichi
    Yasutomi, Shin-Ichi
    MATHEMATICS OF COMPUTATION, 2020, 89 (321) : 351 - 372
  • [48] Ergodicity for p-adic continued fraction algorithms
    Rao, Hui
    Yasutomi, Shin-ichi
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2021, 32 (04): : 759 - 776
  • [49] PERIODICITY OF P-ADIC CONTINUED-FRACTION EXPANSIONS
    DEANIN, AA
    JOURNAL OF NUMBER THEORY, 1986, 23 (03) : 367 - 387
  • [50] Periodic continued fractions over S-integers in number fields and Skolem's p-adic method
    Brock, Bradley W.
    Elkies, Noam D.
    Jordan, Bruce W.
    ACTA ARITHMETICA, 2021, 197 (04) : 379 - 420
12345