Interlacing of zeros of certain weakly holomorphic modular forms for Γ+0(2)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Choi, SoYoung^1,2  Im, Bo-Hae³ 

[1] Gyeongsang Natl Univ, Dept Math Educ, 501 Jinjudae Ro, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, 501 Jinjudae Ro, Jinju 660701, South Korea

[3] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

关键词: Weakly holomorphic modular form;    Interlacing zeros;   

DOI  :  10.1016/j.jmaa.2016.12.014

来源: Elsevier

【 摘 要 】

We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight k for the Fricke group Gamma(+)(0)(2) of level 2 interlace, extending the result for SL2(Z) of Jenkins and Pratt [4]. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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