Small positive values of indefinite ternary forms

被引：0

作者：

Jackson, T ^{[1
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

来源：

MATHEMATIKA | 2002年 / 49卷 / 97-98期

关键词：

D O I：

10.1112/S0025579300016168

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an indefinite quadratic form f(x(1),...,x(n)) of discriminant d, let P(f) denote the greatest lower bound of the positive values assumed by f for integers x(1),..,x(n). This paper investigates the values of P-3/\d\ for nonzero ternary forms of signature -1, and finds the only remaining class of forms with P-3/\d\ > 1/2.

引用

页码：185 / 196

页数：12

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