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The zeros of certain weakly holomorphic Drinfeld modular forms
Authors:SoYoung Choi  Bo-Hae Im
Institution:1. Department of Mathematics Education, Dongguk University-Gyeongju, 123 Dongdae-ro, Gyeongju, Gyeongbuk, 780-714, South Korea
2. Department of Mathematics, Chung-Ang University, 85 Heukseok-ro, Dongjak-gu, Seoul, 156-756, South Korea
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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