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

[21] Indefinite binary quadratic minimal forms
Remak, R
[J]. MATHEMATISCHE ANNALEN, 1924, 92 : 155 - 182
[22] Values of special indefinite quadratic forms
Elsner, Guido
[J]. ACTA ARITHMETICA, 2009, 138 (03) : 201 - 237
[23] The theory of indefinite binary quadratic forms
Schur, I
[J]. SITZUNGSBERICHTE DER KONIGLICH PREUSSISCHEN AKADEMIE DER WISSENSCHAFTEN, 1913, : 212 - 231
[24] On approximating the distribution of indefinite quadratic forms
Provost, Serge B.
Ha, Hyung-Tae
Sanjel, Deepak
[J]. STATISTICS, 2009, 43 (06) : 597 - 609
[25] Numerical geometric analysis of the extreme forms for indefinite quadratic forms
Fujiwara, M
[J]. MATHEMATISCHE ANNALEN, 1922, 85 : 21 - 25
[26] Bailey pairs and indefinite quadratic forms
Lovejoy, Jeremy
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 410 (02) : 1002 - 1013
[27] Inertia properties of indefinite quadratic forms
Sayed, AH
Hassibi, B
Kailath, T
[J]. IEEE SIGNAL PROCESSING LETTERS, 1996, 3 (02) : 57 - 59
[28] DISTRIBUTION OF DEFINITE AND OF INDEFINITE QUADRATIC FORMS
GURLAND, J
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1955, 26 (01): : 122 - 127
[29] HYPERBOLIC HONEYCOMBS AND INDEFINITE QUADRATIC FORMS
COXETER, HSM
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (06) : 624 - 624
[30] INDEFINITE QUADRATIC FORMS IN N VARIABLES
BLANEY, H
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (07) : 661 - 662

← 1 2 3 4 5 →