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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SoYoung Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A3011711) and by the Dongguk University Research Fund of 2013, and Bo-Hae Im who is the corresponding author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2011-0015557).
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Choi, S., Im, BH. The zeros of certain weakly holomorphic Drinfeld modular forms. manuscripta math. 144, 503–515 (2014). https://doi.org/10.1007/s00229-014-0660-3
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DOI: https://doi.org/10.1007/s00229-014-0660-3