Universality of a non-classical integral quadratic form over Q(√5)

被引：11
作者：
Deutsch, Jesse Ira
机构：
[1] 1621 Yale Place, Rockville
来源：
ACTA ARITHMETICA | 2009年 / 136卷 / 03期
关键词：
quadratic form; universality; quaternions; SQUARES; DECOMPOSITION; THEOREM; NUMBERS; FIELDS; PROOF;
D O I：
10.4064/aa136-3-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：229 / 242
页数：14
相关论文
共 14 条
[1]  
[Anonymous], 1980, LECT NOTES MATH
[2]  
[Anonymous], 1966, HIST THEORY NUMBERS
[3]   Similarity submodules and root systems in four dimensions [J].
Baake, M ;
Moody, RV .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1999, 51 (06) :1258-1276
[4]   CUSP FORMS ARISING FROM HILBERTS MODULAR FUNCTIONS FOR FIELD OF 31/2 [J].
COHN, H .
AMERICAN JOURNAL OF MATHEMATICS, 1962, 84 (02) :283-&
[5]   DECOMPOSITION INTO 4 INTEGRAL SQUARES IN THE FIELDS OF 21/2 AND 31/2 [J].
COHN, H .
AMERICAN JOURNAL OF MATHEMATICS, 1960, 82 (02) :301-322
[6]   CALCULATION OF CLASS NUMBERS BY DECOMPOSITION INTO 3 INTEGRAL SQUARES IN FIELDS OF 21/2 AND 31/2 [J].
COHN, H .
AMERICAN JOURNAL OF MATHEMATICS, 1961, 83 (01) :33-&
[7]   An alternate proof of Cohn's four squares theorem [J].
Deutsch, JI .
JOURNAL OF NUMBER THEORY, 2004, 104 (02) :263-278
[8]   Geometry of numbers proof of Gotzky's four-squares theorem [J].
Deutsch, JI .
JOURNAL OF NUMBER THEORY, 2002, 96 (02) :417-431
[9]   A number theoretical application of modal functions of two variables [J].
Gotzky, F .
MATHEMATISCHE ANNALEN, 1928, 100 :411-437
[10]  
Grace J., 1927, J LOND MATH SOC, V2, P3, DOI DOI 10.1112/JLMS/S1-2.1.3
12