ON POSITIVE DEFINITE QUADRATIC FORMS AND THE EXTENDED HECKE GROUP (H)over-bar(√2)

被引：0

作者：

Cildir, Meryem ^{[1
]}

Koruoglu, Ozden ^{[2
]}

Tekcan, Ahmet ^{[3
]}

机构：

[1] Balikesir Sci & Art Ctr, Balikesir, Turkey

[2] Balikesir Univ, Necatibey Fac Educ, Dept Elem Math Teaching, Balikesir, Turkey

[3] Uludag Univ, Fac Sci, Dept Math, Bursa, Turkey

来源：

MATHEMATICAL REPORTS | 2016年 / 18卷 / 03期

关键词：

extended Hecke group; positive quadratic form; base points;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, our main goal is to determine the connection between positive quadratic forms F = (a, b, c) in (H) over bar (root 2) whose base points z = z(F) lie on the line x = -root 2/m and the elements of extended Hecke group (H) over bar (root 2).

引用

页码：355 / 361

页数：7

共 50 条

[1] On the extended Hecke group (H)over-bar (λ5)
Sahin, R
Koruoglu, Ö
Ikikardes, S
ALGEBRA COLLOQUIUM, 2006, 13 (01) : 17 - 23
[2] Some subgroups of the extended Hecke groups H(-)over-bar(λq)
Sahin, R
Bizim, O
ACTA MATHEMATICA SCIENTIA, 2003, 23 (04) : 497 - 502
[3] Commutator subgroups of the extended Hecke groups (H)over-bar(λq)
Sahin, R
Bizim, O
Cangul, IN
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (01) : 253 - 259
[4] On positive definite quadratic forms
Freeman, DE
FORUM MATHEMATICUM, 2000, 12 (05) : 603 - 647
[5] Height bounds on zeros of quadratic forms over (Q)over-bar
Fukshansky, Lenny
RESEARCH IN THE MATHEMATICAL SCIENCES, 2015, 2 (01)
[6] POSITIVE DEFINITE QUADRATIC FORMS
MAHLER, K
SIDNEY, SJ
MARCUS, M
AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (01): : 96 - &
[7] ON THE CONSTRUCTION OF INDECOMPOSABLE POSITIVE DEFINITE QUADRATIC FORMS OVER Z
朱福祖
邵幼瑜
ChineseAnnalsofMathematics, 1988, (01) : 79 - 94
[8] Positive Definite Binary Quadratic Forms and Modules over a Field
Tekcan, A.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (03) : 419 - 426
[9] POSITIVE DEFINITE HERMITIAN FORMS OVER IMAGINARY QUADRATIC FIELDS
秦厚荣
ChineseScienceBulletin, 1990, (23) : 1946 - 1948
[10] IDENTITY FOR PRODUCT OF 2 POSITIVE DEFINITE QUADRATIC FORMS
KOOP, JC
GRAY, GB
NATURE, 1967, 216 (5112) : 304 - &

← 1 2 3 4 5 →