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

Choi, SoYoung; Im, Bo-Hae

doi:10.1016/j.jmaa.2016.12.014

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

Choi, SoYoung;
Im, Bo-Hae

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3

초록

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.

키워드

Weakly holomorphic modular form; Interlacing zeros; EISENSTEIN SERIES

제목: Interlacing of zeros of certain weakly holomorphic modular forms for Gamma(+)(0)(2)

저자: Choi, SoYoung; Im, Bo-Hae

DOI: 10.1016/j.jmaa.2016.12.014

발행일: 2017-05-01

유형: Article

저널명: Journal of Mathematical Analysis and Applications

권: 449

호: 1

페이지: 292 ~ 313