On certain plane curves with many integral points

被引：4
|
作者：
Villegas, FR [1 ]
Voloch, JF [1 ]
机构：
[1] Univ Texas, Dept Math, Austin, TX 78712 USA
来源：
EXPERIMENTAL MATHEMATICS | 1999年 / 8卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1080/10586458.1999.10504388
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define a sequence of polynomials P-d is an element of Z [x, Y], such that P-d is absolutely irreducible, of degree d, has low height, and has at least d(2) + 2d + 3 integral solutions to P-d(x, y) = 0. We know of no other nontrivial family of polynomials of increasing degree with as many integral solutions in terms of their degree.
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页码：57 / 62
页数：6
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