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HEAT OPERATORS AND QUASIMODULAR FORMS

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  28 January 2010

MIN HO LEE
MIN HO LEE*
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, USA (email: [email protected])
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Abstract

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We introduce a differential operator on quasimodular polynomials that corresponds to the derivative operator on quasimodular forms. We then prove that such a differential operator is compatible with a heat operator on Jacobi-like forms in certain cases. These results show in those cases that the derivative operator on quasimodular forms corresponds to a heat operator on Jacobi-like forms.

Keywords

quasimodular formsmodular formsheat operatorsJacobi-like forms

MSC classification

Secondary: 11F11: Holomorphic modular forms of integral weight
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 514 - 522
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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