PERIODS OF MORGAN-VOYCE SEQUENCES AND ELLIPTIC CURVES

被引：6
|
作者：
Ait-Amrane, Lyes [1 ,2 ]
Belbachir, Hacene [3 ]
Betina, Kamel [1 ]
机构：
[1] USTHB Fac Math, LATN Lab, DG RSDT, BP 32, Algiers 16111, Algeria
[2] Ecole Natl Super Informat ESI, BP 68M Oued Smar, Algiers 16270, Algeria
[3] USTHB Fac Math, RECITS Lab, DG RSDT, BP 32, Algiers 16111, Algeria
来源：
MATHEMATICA SLOVACA | 2016年 / 66卷 / 06期
关键词：
elliptic curves; periods of sequences; Morgan-Voyce sequence; prime numbers; congruences; quadratic residue; FIBONACCI NUMBERS; PASCALS TRIANGLE; RAYS;
D O I：
10.1515/ms-2016-0222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the periods of Morgan-Voyce sequences modulo an integer m and the periods of Morgan-Voyce sequences over elliptic curves. (C) 2016 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1267 / 1284
页数：18
相关论文
共 50 条
  • [21] Regular polygons, Morgan-Voyce polynomials, and Chebyshev polynomials
    Merikoski, Jorma K.
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (02) : 79 - 87
  • [22] Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials
    Stoll, Thomas
    Tichy, Robert F.
    MATHEMATICA SLOVACA, 2008, 58 (01) : 11 - 18
  • [23] A STUDY OF RECURRENT LADDERS USING POLYNOMICALS DEFINED BY MORGAN-VOYCE
    SWAMY, MNS
    BHATTACHARYYA, BB
    IEEE TRANSACTIONS ON CIRCUIT THEORY, 1967, CT14 (03): : 260 - +
  • [24] Completion of numerical values of generalized Morgan-Voyce and related polynomials
    Horadam, AF
    FIBONACCI QUARTERLY, 2000, 38 (03): : 260 - 263
  • [25] Some relationships among Vieta, Morgan-Voyce and Jacobsthal polynomials
    Shannon, AG
    Horadam, AF
    APPLICATIONS OF FIBONACCI NUMBERS, VOL 8, 1999, : 307 - 323
  • [26] Periods of Tribonacci sequences and elliptic curves
    Ait-Amrane, Lyes
    Belbachir, Hacene
    ALGEBRA & DISCRETE MATHEMATICS, 2018, 25 (01): : 1 - 17
  • [27] p-Adic valuation of the Morgan-Voyce sequence and p-regularity
    Ait-Amrane, Lyes
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (02): : 235 - 249
  • [28] Periods of (q,r)-Fibonacci sequences and elliptic curves
    Coleman, DA
    Dugan, CJ
    McEwen, RA
    Reiter, CA
    Tang, TT
    FIBONACCI QUARTERLY, 2006, 44 (01): : 59 - 70
  • [29] MORGAN-VOYCE MATRIX METHOD FOR GENERALIZED FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA-TYPE
    Ozel, Mustafa
    Kurkcu, Omur Kivanc
    Sezer, Mehmet
    JOURNAL OF SCIENCE AND ARTS, 2019, (02): : 295 - 310
  • [30] Fractional shifted Morgan-Voyce neural networks for solving fractal-fractional pantograph differential equations
    Rahimkhani, Parisa
    Heydari, Mohammad Hossein
    CHAOS SOLITONS & FRACTALS, 2023, 175
12345