Construction of Jacobi forms associated to indefinite quadratic forms

被引：1

作者：

Choie, YoungJu ^{[1
,2
]}

Lim, Subong ^{[1
,2
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

[2] Pohang Univ Sci & Technol, PMI, Pohang 790784, South Korea

来源：

RAMANUJAN JOURNAL | 2010年 / 21卷 / 01期

关键词：

Jacobi form; Non-holomorphic theta function; Indefinite form; Siegel theta series; Schrdinger-Weil representation;

D O I：

10.1007/s11139-008-9153-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Vign,ras constructs non-holomorphic theta functions according to indefinite quadratic forms with arbitrary signature. We use Vign,ras' theta functions to create examples of non-holomorphic Jacobi forms associated to indefinite theta series by two different methods.

引用

页码：27 / 39

页数：13

共 50 条

[1] Construction of Jacobi forms associated to indefinite quadratic forms
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[J]. The Ramanujan Journal, 2010, 21 : 27 - 39
[2] Indefinite Quadratic Forms and their Neighbours
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[3] The indefinite quadratic forms of Hermite
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[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1918, 166 : 753 - 758
[4] The indefinite quadratic ternary forms
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[6] ON INDEFINITE BINARY QUADRATIC FORMS
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