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.

引用

页码：57 / 62

页数：6

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