Vector-valued modular forms associated to linear ordinary differential equations

Min Ho Lee

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 1, page 93-99
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Lee, Min Ho. "Vector-valued modular forms associated to linear ordinary differential equations." Commentationes Mathematicae Universitatis Carolinae 49.1 (2008): 93-99. <http://eudml.org/doc/250490>.

@article{Lee2008,
abstract = {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.},
author = {Lee, Min Ho},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {modular forms; vector-valued modular forms; ordinary differential equations; modular forms; vector-valued modular forms; ordinary differential equations},
language = {eng},
number = {1},
pages = {93-99},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Vector-valued modular forms associated to linear ordinary differential equations},
url = {http://eudml.org/doc/250490},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Lee, Min Ho
TI - Vector-valued modular forms associated to linear ordinary differential equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 1
SP - 93
EP - 99
AB - 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.
LA - eng
KW - modular forms; vector-valued modular forms; ordinary differential equations; modular forms; vector-valued modular forms; ordinary differential equations
UR - http://eudml.org/doc/250490
ER -

References

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  1. Eichler M., 10.1007/BF01258863, Math. Z. 67 (1957), 267-298. (1957) MR0089928DOI10.1007/BF01258863
  2. Eichler M., Zagier D., The Theory of Jacobi Forms, Progress in Math., vol. 55, Birkhäuser, Boston, 1985. Zbl0554.10018MR0781735
  3. Kuga M., Shimura G., 10.2969/jmsj/01230258, J. Math. Soc. Japan 12 (1960 258-270). (1960 258-270) MR0133480DOI10.2969/jmsj/01230258
  4. Miyake T., Modular Forms, Springer, Heidelberg, 1989. Zbl1159.11014MR1021004
  5. Shimura G., 10.2969/jmsj/01140291, J. Math. Soc. Japan 11 (1959), 291-311. (1959) MR0120372DOI10.2969/jmsj/01140291
  6. Stiller P., Special values of Dirichlet series, monodromy, and the periods of automorphic forms, Mem. Amer. Math. Soc. 49 (1984), 299. (1984) Zbl0536.10023MR0743544

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