The number of zeros of certain combinations of the Eisenstein series for Gamma(+)(0)(2)
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초록

We give a lower bound of the number of zeros of the modular forms E-k(+) E-l(+) - E-k+l(+) for large enough k and l on each of the arc boundary and on the vertical boundary of the fundamental domain for the Fricke group Gamma(+)(0)(2), where E-k(+) is the Eisenstein series of weight k for Gamma(+)(0)(2). (C) 2020 Elsevier Inc. All rights reserved.

키워드

Weakly holomorphic modular formHOLOMORPHIC MODULAR-FORMS
제목
The number of zeros of certain combinations of the Eisenstein series for Gamma(+)(0)(2)
저자
Choi, SoYoungIm, Bo-Hae
DOI
10.1016/j.jnt.2020.11.007
발행일
2021-06
유형
Article
저널명
Journal of Number Theory
223
페이지
101 ~ 131