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

共 50 条

[1] A note on the distribution of angles associated to indefinite integral binary quadratic forms
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[J]. Czechoslovak Mathematical Journal, 2019, 69 : 443 - 452
[2] ON INDEFINITE BINARY QUADRATIC FORMS
OPPENHEIM, A
[J]. ACTA MATHEMATICA, 1954, 91 (01) : 43 - 50
[3] The theory of indefinite binary quadratic forms
Schur, I
[J]. SITZUNGSBERICHTE DER KONIGLICH PREUSSISCHEN AKADEMIE DER WISSENSCHAFTEN, 1913, : 212 - 231
[4] Indefinite binary quadratic minimal forms
Remak, R
[J]. MATHEMATISCHE ANNALEN, 1924, 92 : 155 - 182
[5] DIAGONALIZABLE INDEFINITE INTEGRAL QUADRATIC-FORMS
JAMES, DG
[J]. ACTA ARITHMETICA, 1988, 50 (03) : 309 - 314
[6] Class Numbers of Indefinite Binary Quadratic Forms
O. M. Fomenko
[J]. Journal of Mathematical Sciences, 2003, 118 (1) : 4918 - 4932
[7] On continuous fractions and indefinite binary quadratic forms
Humbert, G
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1916, 162 : 23 - 26
[8] Small values of indefinite binary quadratic forms
Flahive, ME
Woods, AC
[J]. ANALYTIC NUMBER THEORY, VOL 1: PROCEEDINGS OF A CONFERENCE IN HONOR OF HEINI HALBERSTAM, 1996, 138 : 397 - 409
[9] Concerning the reduction of indefinite binary quadratic forms
Frobenius, G
[J]. SITZUNGSBERICHTE DER KONIGLICH PREUSSISCHEN AKADEMIE DER WISSENSCHAFTEN, 1913, : 202 - 211
[10] THE MINIMA OF INDEFINITE BINARY QUADRATIC-FORMS
NICHOLLS, PJ
[J]. JOURNAL OF NUMBER THEORY, 1983, 16 (01) : 19 - 30

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