ON THE RESOLUTION OF INDEX FORM EQUATIONS IN BIQUADRATIC NUMBER-FIELDS .1.

被引：22

作者：

GAAL, I ^{[1
]}

PETHO, A ^{[1
]}

POHST, M ^{[1
]}

机构：

[1] UNIV DUSSELDORF,INST MATH,W-4000 DUSSELDORF 1,GERMANY

来源：

JOURNAL OF NUMBER THEORY | 1991年 / 38卷 / 01期

关键词：

D O I：

10.1016/0022-314X(91)90090-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develop a method for computing all small solutions (i.e. with coordinates of absolute value <107) of index form equations in totally real biquadratic number fields. If the index form equation is not solvable, this will also be recognized by our algorithm in most cases. As an application we present all such solutions in quadratic extensions K of Q(√5) of discriminant D K Q < 63000 and of Q(√2) of discriminant D K Q < 39000. © 1991.

引用

页码：18 / 34

页数：17

共 18 条

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