Integer points on two families of elliptic curves

被引：0
作者：
Najman, Filip [1 ]
机构：
[1] Univ Zagreb, Dept Math, Bijenicka Cesta 30, Zagreb 10000, Croatia
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2009年 / 75卷 / 3-4期
关键词：
family of elliptic curves; integer points; Diophantine m-tuple; DIOPHANTINE TRIPLES; PARAMETRIC FAMILY; K+1; K-1;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we find all the integer points on elliptic curves induced by the Diophantine triples {k - 1, k + 1, 16k(3) - 4k} and {k - 1, k + 1, 64k(5) - 48k(3) + 8k} that have either rank two or 2 <= k <= 10000 (with one possible exception).
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页码：401 / 418
页数：18
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