PRIMITIVE REPRESENTATIONS BY UNIMODULAR QUADRATIC-FORMS

被引：2

作者：

JAMES, DG ^{[1
]}

机构：

[1] PENN STATE UNIV,DEPT MATH,UNIV PK,PA 16802

来源：

JOURNAL OF NUMBER THEORY | 1993年 / 44卷 / 03期

关键词：

D O I：

10.1006/jnth.1993.1060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient local conditions are given for the primitive representation of a lattice by a unimodular lattice. Global results are then obtained for indefinite lattices by using strong approximation. © 1993 Academic Press Inc.

引用

页码：356 / 366

页数：11

共 50 条

[1] NEARLY UNIMODULAR QUADRATIC-FORMS
GERSTEIN, LJ
[J]. ANNALS OF MATHEMATICS, 1995, 142 (03) : 597 - 610
[2] ON THE CLASSIFICATION OF UNIMODULAR QUADRATIC-FORMS
HSIA, JS
[J]. JOURNAL OF NUMBER THEORY, 1980, 12 (03) : 327 - 333
[3] PRIMITIVE REPRESENTATIONS BY SPINOR GENERA OF TERNARY QUADRATIC-FORMS
EARNEST, AG
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HUNG, DC
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1994, 50 : 222 - 230
[4] REPRESENTATIONS OF QUADRATIC-FORMS
KITAOKA, Y
[J]. NAGOYA MATHEMATICAL JOURNAL, 1978, 69 (FEB) : 117 - 120
[5] NORMAL FORMS FOR DEFINITE INTEGER UNIMODULAR QUADRATIC-FORMS
FRIEDLAND, S
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (04) : 917 - 921
[6] REPRESENTATIONS OF POSITIVE-DEFINITE QUADRATIC-FORMS WITH CONGRUENCE AND PRIMITIVE CONDITIONS
JOCHNER, M
KITAOKA, Y
[J]. JOURNAL OF NUMBER THEORY, 1994, 48 (01) : 88 - 101
[7] JORDAN SPLITTINGS OF ALMOST UNIMODULAR INTEGRAL QUADRATIC-FORMS
RIEHM, C
[J]. JOURNAL OF NUMBER THEORY, 1980, 12 (03) : 395 - 420
[8] DEFINITE UNIMODULAR 48-DIMENSIONAL QUADRATIC-FORMS
PETERS, M
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1983, 15 (JAN) : 18 - 20
[9] REPRESENTATIONS OF POSITIVE DEFINITE QUADRATIC-FORMS
HSIA, JS
KITAOKA, Y
KNESER, M
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1978, 301 : 132 - 141
[10] VALUES OF QUADRATIC-FORMS AT PRIMITIVE INTEGRAL POINTS
DANI, SG
MARGULIS, GA
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 308 (07): : 199 - 203

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