The zeros of certain weakly holomorphic Drinfeld modular forms

descriptionPublicationkeyboard_double_arrow_right Article 28 Jan 2014 English Publisher:Springer Science and Business Media LLCJournal:Manuscripta Mathematica, volume 144, pages 503-515 (issn: 0025-2611, eissn: 1432-1785,

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Authors: SoYoung Choi; Bo-Hae Im;

doi: 10.1007/s00229-014-0660-3

The zeros of certain weakly holomorphic Drinfeld modular forms

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Abstract

Duke and Jenkins (Pure Appl Math Q 4(4):1327–1340, 2008) constructed a canonical basis for the space of weakly holomorphic modular forms for $${{\rm SL}_2(\mathbb{Z})}$$ and investigated the zeros of the basis elements. In this paper we give an analogy in the Drinfeld setting of the result given by Duke and Jenkins (Pure Appl Math Q 4(4):1327–1340, 2008).

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Dongguk University WISE
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Dongguk University
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Chung-Ang University
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