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On arithmetic progressions on elliptic curves
被引:30
作者
:
Bremner, A
论文数:
0
引用数:
0
h-index:
0
机构:
Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
Bremner, A
[
1
]
机构
:
[1]
Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
来源
:
EXPERIMENTAL MATHEMATICS
|
1999年
/ 8卷
/ 04期
关键词
:
D O I
:
10.1080/10586458.1999.10504629
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We study arithmetic progressions in the x-coordinates of rational points on elliptic curves. An infinite family of elliptic curves is found, each containing an arithmetic progression of length 8.
引用
收藏
页码:409 / 413
页数:5
相关论文
共 4 条
[1]
BREMNER A, 1999, J NUMBER THEORY, V79
[2]
ON THE CONJECTURE OF BIRCH AND SWINNERTON-DYER FOR AN ELLIPTIC CURVE OF RANK-3
BUHLER, JP
论文数:
0
引用数:
0
h-index:
0
机构:
BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912
BUHLER, JP
GROSS, BH
论文数:
0
引用数:
0
h-index:
0
机构:
BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912
GROSS, BH
ZAGIER, DB
论文数:
0
引用数:
0
h-index:
0
机构:
BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912
ZAGIER, DB
[J].
MATHEMATICS OF COMPUTATION,
1985,
44
(170)
: 473
-
481
[3]
CONNELL I, APECS ARITHMETIC PLA
[4]
Lee J.-B., 1992, PERIOD MATH HUNG, V25, P31
←
1
→
共 4 条
[1]
BREMNER A, 1999, J NUMBER THEORY, V79
[2]
ON THE CONJECTURE OF BIRCH AND SWINNERTON-DYER FOR AN ELLIPTIC CURVE OF RANK-3
BUHLER, JP
论文数:
0
引用数:
0
h-index:
0
机构:
BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912
BUHLER, JP
GROSS, BH
论文数:
0
引用数:
0
h-index:
0
机构:
BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912
GROSS, BH
ZAGIER, DB
论文数:
0
引用数:
0
h-index:
0
机构:
BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912
ZAGIER, DB
[J].
MATHEMATICS OF COMPUTATION,
1985,
44
(170)
: 473
-
481
[3]
CONNELL I, APECS ARITHMETIC PLA
[4]
Lee J.-B., 1992, PERIOD MATH HUNG, V25, P31
←
1
→