About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Lee, Min Ho
Vector-valued modular forms associated to linear ordinary differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 1, pp. 93-99
MSC: 11F11, 11F12, 34A30, 34M35 | MR 2433627 | Zbl 1212.11066
Keywords:
modular forms; vector-valued modular forms; ordinary differential equations
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.
References:
[1] Eichler M.: Eine Verallgemeinerung der Abelschen Integrals. Math. Z. 67 (1957), 267-298. DOI 10.1007/BF01258863 | MR 0089928
[2] Eichler M., Zagier D.: The Theory of Jacobi Forms. Progress in Math., vol. 55, Birkhäuser, Boston, 1985. MR 0781735 | Zbl 0554.10018
[3] Kuga M., Shimura G.: On vector differential forms attached to automorphic forms. J. Math. Soc. Japan 12 (1960 258-270). DOI 10.2969/jmsj/01230258 | MR 0133480
[4] Miyake T.: Modular Forms. Springer, Heidelberg, 1989. MR 1021004 | Zbl 1159.11014
[5] Shimura G.: Sur les intégrales attachés aux formes automorphes. J. Math. Soc. Japan 11 (1959), 291-311. DOI 10.2969/jmsj/01140291 | MR 0120372
[6] Stiller P.: Special values of Dirichlet series, monodromy, and the periods of automorphic forms. Mem. Amer. Math. Soc. 49 (1984), 299. MR 0743544 | Zbl 0536.10023
Partner of
EuDML logo