Algebraic Points of Degree at most 4 on the Affine Curve y2

被引：0
|
作者：
Sow, E. L. Hadji [1 ]
机构：
[1] Assane SECK Univ, Fac Sci & Technol, Dept Math & Applicat Lab, Ziguinchor, Senegal
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2023年 / 18卷 / 04期
关键词：
Degree of algebraic points; Plane curves; Rational points;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine explicitly algebraic points of degree at most 4 on the curve C given by the affine equation y(2) + y = x(5). This result extends our previous result in [8].
引用
收藏
页码：613 / 617
页数：5
相关论文
共 50 条
  • [21] Elliptic Curve Integral Points on y2 = x3+3x-14
    Zhao, Jianhong
    3RD INTERNATIONAL CONFERENCE ON ENERGY EQUIPMENT SCIENCE AND ENGINEERING (ICEESE 2017), 2018, 128
  • [22] INTEGER POINTS OF Y2=X3-4X+1
    MOHANTY, SP
    JOURNAL OF NUMBER THEORY, 1988, 30 (01) : 86 - 93
  • [23] Rational Points in Arithmetic Progressions on y2 = xn + k
    Ulas, Maciej
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2012, 55 (01): : 193 - 207
  • [24] THE NUMBER OF POINTS ON ELLIPTIC CURVES y2 = x(3)
    Jeon, Wonju
    Kim, Daeyeoul
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (03): : 433 - 447
  • [25] Integral points on the elliptic curve Epq: y2 = x3 + (pq − 12) x − 2(pq − 8)
    Teng Cheng
    Qingzhong Ji
    Hourong Qin
    Indian Journal of Pure and Applied Mathematics, 2019, 50 : 343 - 352
  • [26] Twists of the genus 2 curve Y2 = X6+1
    Cardona, Gabriel
    Lario, Joan-Caries
    JOURNAL OF NUMBER THEORY, 2020, 209 : 195 - 211
  • [27] THE TORSION SUBGROUP OF THE ELLIPTIC CURVE Y2 = X3
    Dimabayao, Jerome T.
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2020, 63 (02) : 137 - 149
  • [28] ON THE RANK OF THE ELLIPTIC CURVE Y2=X3+K
    KIHARA, S
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1987, 63 (03) : 76 - 78
  • [29] Generators for the elliptic curve y2 = x3 - nx
    Fujita, Yasutsugu
    Terai, Nobuhiro
    DIOPHANTINE ANALYSIS AND RELATED FIELDS 2010, 2010, 1264 : 1 - +
  • [30] Generators for the elliptic curve y2 = x3-nx
    Fujita, Yasutsugu
    Terai, Nobuhiro
    JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2011, 23 (02): : 403 - 416
12345