Size of regulators and consecutive square-free numbers

被引：5

作者：

Fouvry, Etienne ^{[1
]}

Jouve, Florent ^{[1
]}

机构：

[1] Univ Paris 11, CNRS, Math Lab, UMR 8628, F-91405 Orsay, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 2013年 / 273卷 / 3-4期

关键词：

EQUATION;

D O I：

10.1007/s00209-012-1035-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, for almost all D, the fundamental solution of the associated Pell equation x (2)-Dy (2) = 1 is greater than D (1.749 center dot center dot center dot). We also show a strong link between this question and the error term in the asymptotic formula of the number of pairs of consecutive square-free numbers.

引用

页码：869 / 882

页数：14

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