Interlacing of zeros of certain weakly holomorphic modular forms for Γ0+(2)

We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight k for the Fricke group Γ0+(2) of level 2 interlace, extending the result for SL2(Z) of Jenkins and Pratt [4].

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Bibliographic Details
Published in	Journal of mathematical analysis and applications Vol. 449; no. 1; pp. 292 - 313
Main Authors	Choi, SoYoung, Im, Bo-Hae
Format	Journal Article
Language	English
Published	Elsevier Inc 01.05.2017
Subjects	Interlacing zeros Weakly holomorphic modular form Interlacing zeros Weakly holomorphic modular form
Online Access	Get full text

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Summary:	We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight k for the Fricke group Γ0+(2) of level 2 interlace, extending the result for SL2(Z) of Jenkins and Pratt [4].
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2016.12.014