| Title:
|
Vector-valued modular forms associated to linear ordinary differential equations (English) |
| Author:
|
Lee, Min Ho |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
93-99 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a class of linear ordinary differential equations determined by a modular form of weight one, and construct vector-valued modular forms of weight two by using solutions of such differential equations. (English) |
| Keyword:
|
modular forms |
| Keyword:
|
vector-valued modular forms |
| Keyword:
|
ordinary differential equations |
| MSC:
|
11F11 |
| MSC:
|
11F12 |
| MSC:
|
34A30 |
| MSC:
|
34M35 |
| idZBL:
|
Zbl 1212.11066 |
| idMR:
|
MR2433627 |
| . |
| Date available:
|
2009-05-05T17:06:43Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119704 |
| . |
| Reference:
|
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| Reference:
|
[2] Eichler M., Zagier D.: The Theory of Jacobi Forms.Progress in Math., vol. 55, Birkhäuser, Boston, 1985. Zbl 0554.10018, MR 0781735 |
| Reference:
|
[3] Kuga M., Shimura G.: On vector differential forms attached to automorphic forms.J. Math. Soc. Japan 12 (1960 258-270). MR 0133480, 10.2969/jmsj/01230258 |
| Reference:
|
[4] Miyake T.: Modular Forms.Springer, Heidelberg, 1989. Zbl 1159.11014, MR 1021004 |
| Reference:
|
[5] Shimura G.: Sur les intégrales attachés aux formes automorphes.J. Math. Soc. Japan 11 (1959), 291-311. MR 0120372, 10.2969/jmsj/01140291 |
| Reference:
|
[6] Stiller P.: Special values of Dirichlet series, monodromy, and the periods of automorphic forms.Mem. Amer. Math. Soc. 49 (1984), 299. Zbl 0536.10023, MR 0743544 |
| . |
