Existence of unilateral, ternary, integral quadratic forms

被引：0

作者：

Maria Montesinos-Amilibia, Jose ^{[1
]}

机构：

[1] Univ Complutense, Fac Matemat, E-28040 Madrid, Spain

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2017年 / 26卷 / 14期

关键词：

Integral quadratic form; knot; link; hyperbolic manifold; volume; automorph; commensurability class; integral equivalence; rational equivalence; projective equivalence; Bianchi equivalence; Conway's excesses; p-adic symbols;

D O I：

10.1142/S0218216517501012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ternary, integral quadratic form is called unilateral if its associated orbifold Q(f) is orientable. Examples of unilateral forms f and their associated orbifolds Q(f) are given. The examples are selected to give credit to the conjecture that every form with squarefree, prime determinant has a unilateral B-cover.

引用

页数：35

共 50 条

[21] Integral quadratic forms and graphs
Gerstein, Larry J.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 585 : 60 - 70
[22] ON THE REPRESENTATION OF LARGE INTEGERS BY INTEGRAL TERNARY POSITIVE-DEFINITE QUADRATIC-FORMS
MOROZ, BZ
ASTERISQUE, 1992, (209) : 275 - 278
[23] ON EXISTENCE OF A PRIMITIVE TERNARY QUADRATIC FORM
ASADULLA, S
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01): : 122 - &
[24] Representation of integers by ternary quadratic forms
Li, DL
Zhao, CL
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (04): : 715 - 720
[25] Representation of Integers by Ternary Quadratic Forms
De Lang LI
Chun Lai ZHAO Department of Mathematics
Acta Mathematica Sinica(English Series), 2001, 17 (04) : 715 - 720
[26] ON CERTAIN TERNARY QUADRATIC-FORMS
KLEINERT, E
ARCHIV DER MATHEMATIK, 1987, 48 (05) : 399 - 405
[27] REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS
Kane, Ben
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (01) : 127 - 159
[28] Ternary Quadratic Forms and Eta Quotients
Williams, Kenneth S.
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (04): : 858 - 868
[29] Ternary quadratic forms and Heegner divisors
Tuoping Du
The Ramanujan Journal, 2016, 39 : 61 - 82
[30] ON SOLVABILITY OF TERNARY QUADRATIC-FORMS
GUO, CR
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1995, 70 : 241 - 263

← 1 2 3 4 5 →