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Vector-valued Siegel modular forms of weight det k ⊗ Sym(8)
被引:2
作者
:
Kiyuna, Tomoya
论文数:
0
引用数:
0
h-index:
0
机构:
Kyushu Univ, Grad Sch Math, Nishi Ku, Fukuoka 8190395, Japan
Kyushu Univ, Grad Sch Math, Nishi Ku, Fukuoka 8190395, Japan
Kiyuna, Tomoya
[
1
]
机构
:
[1]
Kyushu Univ, Grad Sch Math, Nishi Ku, Fukuoka 8190395, Japan
来源
:
INTERNATIONAL JOURNAL OF MATHEMATICS
|
2015年
/ 26卷
/ 01期
关键词
:
Siegel modular forms;
differential operators;
DIFFERENTIAL-OPERATORS;
BURKHARDT GROUP;
DEGREE-2;
SPACES;
D O I
:
10.1142/S0129167X15500044
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We determine the structures of modules of vector-valued Siegel modular forms of weight det (k) circle times Sym(8) with respect to the full Siegel modular group of degree two.
引用
收藏
页数:16
相关论文
共 18 条
[1]
Simple graded rings of Siegel modular forms, differential operators and Borcherds products
Aoki, H
论文数:
0
引用数:
0
h-index:
0
机构:
Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
Aoki, H
Ibukiyama, T
论文数:
0
引用数:
0
h-index:
0
机构:
Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
Ibukiyama, T
[J].
INTERNATIONAL JOURNAL OF MATHEMATICS,
2005,
16
(03)
: 249
-
279
[2]
VECTOR-VALUED SIEGEL MODULAR-FORMS OF DEGREE-2 AND THE ASSOCIATED ANDRIANOV L-FUNCTIONS
ARAKAWA, T
论文数:
0
引用数:
0
h-index:
0
ARAKAWA, T
[J].
MANUSCRIPTA MATHEMATICA,
1983,
44
(1-3)
: 155
-
185
[3]
Rankin-Cohen type differential operators for Siegel modular forms
Eholzer, W
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
Eholzer, W
Ibukiyama, T
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
Ibukiyama, T
[J].
INTERNATIONAL JOURNAL OF MATHEMATICS,
1998,
9
(04)
: 443
-
463
[4]
Eichler M., 1985, The Theory of Jacobi Forms, V55
[5]
THETA-SERIES WITH HARMONIC COEFFICIENTS IN SIEGEL MODULAR-GROUPS
FREITAG, E
论文数:
0
引用数:
0
h-index:
0
FREITAG, E
[J].
MATHEMATISCHE ANNALEN,
1980,
254
(01)
: 27
-
51
[6]
The Burkhardt group and modular forms 2
Freitag, E
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Freitag, E
Manni, RS
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Manni, RS
[J].
TRANSFORMATION GROUPS,
2004,
9
(03)
: 237
-
256
[7]
The Burkhardt group and modular forms
Freitag, E
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Freitag, E
Manni, RS
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Manni, RS
[J].
TRANSFORMATION GROUPS,
2004,
9
(01)
: 25
-
45
[8]
On the graded ring of Siegel modular forms of degree 2, level 3
Gunji, K
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
Gunji, K
[J].
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,
2004,
56
(02)
: 375
-
403
[9]
Ibukiyama T, 2012, COMMENT MATH U ST PA, V61, P51
[10]
Ibukiyama T., 1999, COMMENT MATH U ST PA, V48, P103
←
1
2
→
共 18 条
[1]
Simple graded rings of Siegel modular forms, differential operators and Borcherds products
Aoki, H
论文数:
0
引用数:
0
h-index:
0
机构:
Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
Aoki, H
Ibukiyama, T
论文数:
0
引用数:
0
h-index:
0
机构:
Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
Ibukiyama, T
[J].
INTERNATIONAL JOURNAL OF MATHEMATICS,
2005,
16
(03)
: 249
-
279
[2]
VECTOR-VALUED SIEGEL MODULAR-FORMS OF DEGREE-2 AND THE ASSOCIATED ANDRIANOV L-FUNCTIONS
ARAKAWA, T
论文数:
0
引用数:
0
h-index:
0
ARAKAWA, T
[J].
MANUSCRIPTA MATHEMATICA,
1983,
44
(1-3)
: 155
-
185
[3]
Rankin-Cohen type differential operators for Siegel modular forms
Eholzer, W
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
Eholzer, W
Ibukiyama, T
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
Ibukiyama, T
[J].
INTERNATIONAL JOURNAL OF MATHEMATICS,
1998,
9
(04)
: 443
-
463
[4]
Eichler M., 1985, The Theory of Jacobi Forms, V55
[5]
THETA-SERIES WITH HARMONIC COEFFICIENTS IN SIEGEL MODULAR-GROUPS
FREITAG, E
论文数:
0
引用数:
0
h-index:
0
FREITAG, E
[J].
MATHEMATISCHE ANNALEN,
1980,
254
(01)
: 27
-
51
[6]
The Burkhardt group and modular forms 2
Freitag, E
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Freitag, E
Manni, RS
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Manni, RS
[J].
TRANSFORMATION GROUPS,
2004,
9
(03)
: 237
-
256
[7]
The Burkhardt group and modular forms
Freitag, E
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Freitag, E
Manni, RS
论文数:
0
引用数:
0
h-index:
0
机构:
Math Inst, D-69120 Heidelberg, Germany
Manni, RS
[J].
TRANSFORMATION GROUPS,
2004,
9
(01)
: 25
-
45
[8]
On the graded ring of Siegel modular forms of degree 2, level 3
Gunji, K
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
Gunji, K
[J].
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,
2004,
56
(02)
: 375
-
403
[9]
Ibukiyama T, 2012, COMMENT MATH U ST PA, V61, P51
[10]
Ibukiyama T., 1999, COMMENT MATH U ST PA, V48, P103
←
1
2
→