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Mellin Transforms of Mixed Cusp Forms

Published online by Cambridge University Press:  20 November 2018

Youngju Choie  and
Min Ho Lee
Youngju Choie
Affiliation:
Department of Mathematics Pohang University of Science and Technology Pohang, 790–784 Korea, email: [email protected]
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 define generalized Mellin transforms of mixed cusp forms, show their convergence, and prove that the function obtained by such a Mellin transform of a mixed cusp form satisfies a certain functional equation. We also prove that a mixed cusp form can be identified with a holomorphic form of the highest degree on an elliptic variety.

Keywords

11F1211F6611M0614K05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 3 , 01 September 1999 , pp. 263 - 273
Copyright
Copyright © Canadian Mathematical Society 1999

References

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