On the Diophantine equation x4+y4=c

被引：0
|
作者：
Bremner, Andrew [1 ]
Nguyen Xuan Tho [2 ]
机构：
[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 95287 USA
[2] Hanoi Univ Sci & Technol, Hanoi, Vietnam
来源：
ACTA ARITHMETICA | 2022年 / 204卷 / 02期
关键词：
Key words and phrases; Fermat quartics; algebraic number theory; rational points;
D O I：
10.4064/aa210718-5-4[141]
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：141 / 150
页数：10
相关论文
共 50 条
  • [1] The diophantine equation x4+y4=z2 in Q(√-2)
    Szabó, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1999, 30 (09): : 857 - 861
  • [2] Gaussian Integer Solutions of the Diophantine Equation x4+y4=z3 for x≠y
    Ismail, Shahrina
    Atan, Kamel Ariffin Mohd
    Sejas-Viscarra, Diego
    Yow, Kai Siong
    BAGHDAD SCIENCE JOURNAL, 2023, 20 (05) : 1751 - 1762
  • [3] Modular congruences, Q-curves, and the diophantine equation x4+y4=zp
    Dieulefait, LV
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2005, 12 (03) : 363 - 369
  • [4] On the Diophantine equation x4 + y4 = c
    Bremner, Andrew
    Tho, Nguyen Xuan
    ACTA ARITHMETICA, 2022, : 141 - 150
  • [5] EQUATION X4+Y4=Z4 IN NUMBER FIELDS
    CHRISTY, D
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 274 (16): : 1193 - &
  • [6] On the diophantine equation 2(a)X(4)+2(b)Y(4)=2(c)Z(4)
    Suzuki, Y
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1996, 72 (04) : 92 - 94
  • [7] GROUP OF DIVISOR CLASSES ON A CURVE DEFINED BY EQUATION X4+Y4=1
    FADEEV, DK
    DOKLADY AKADEMII NAUK SSSR, 1960, 134 (04): : 776 - 777
  • [8] A note on the diophantine equation ((x)(4))=((y)(2))
    Pinter, AK
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1995, 47 (3-4): : 411 - 415
  • [9] ON THE DIOPHANTINE EQUATION X4+/-Y4=ZP
    POWELL, B
    BULLETIN DES SCIENCES MATHEMATIQUES, 1983, 107 (02): : 219 - 223
  • [10] On the Diophantine Equation x(4)
    Alvarado, Alejandra
    Delorme, Jean-Joel
    JOURNAL OF INTEGER SEQUENCES, 2014, 17 (11)
12345