ALMOST-UNIVERSAL QUADRATIC FORMS: AN EFFECTIVE SOLUTION OF A PROBLEM OF RAMANUJAN

被引：10

作者：

Bochnak, J. ^{[1
]}

Oh, B. -K. ^{[2
]}

机构：

[1] Vrije Univ Amsterdam, Dept Math, NL-1081 HV Amsterdam, Netherlands

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

DUKE MATHEMATICAL JOURNAL | 2009年 / 147卷 / 01期

关键词：

D O I：

10.1215/00127094-2009-008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we investigate almost-universal positive-definite integral quaternary quadratic forms, that is, those representing sufficiently large positive integers. In particular, we provide an effective characterization of all such forms. In this way we obtain the final solution to a problem first addressed by Ramanujan in [12]. Special attention is given to 2-anisotropic almost-universal quaternaries.

引用

页码：131 / 156

页数：26

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