INHOMOGENEOUS MINIMA OF A CLASS OF TERNARY QUADRATIC-FORMS

被引：1
作者：
RAKA, M
机构：
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1993年 / 55卷
关键词：
D O I：
10.1017/S144678870003408X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let GAMMA2,1(k) denote the kth successive inhomogeneous minima for positive values of real indefinite ternary quadratic forms of type (2, 1). Here it is proved that for the class of zero forms GAMMA2,1(2) = 8/3, GAMMA2,1(3) = 9/4, GAMMA2,1(4) = 2. All the critical forms have also been obtained. GAMMA2,1(1) = 4 is already known. For non-zero forms it is proved that GAMMA2,1(1) < 10/3.
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页码：334 / 354
页数：21
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