A note on the distribution of angles associated to indefinite integral binary quadratic forms

被引：1

作者：

Dokic, Dragan ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, Serbia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2019年 / 69卷 / 02期

关键词：

Weyl sum; indefinite integral binary quadratic form; real quadratic field; geodesic; asymptotic distribution;

D O I：

10.21136/CMJ.2018.0370-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To each indefinite integral binary quadratic form Q, we may associate the geodesic in H through the roots of quadratic equation Q(x, 1). In this paper we study the asymptotic distribution (as discriminant tends to infinity) of the angles between these geodesics and one fixed vertical geodesic which intersects all of them.

引用

页码：443 / 452

页数：10

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