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The number of zeros of certain combinations of the Eisenstein series for Gamma(+)(0)(2)
- Authors
- Choi, SoYoung; Im, Bo-Hae
- Issue Date
- Jun-2021
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Weakly holomorphic modular form
- Citation
- JOURNAL OF NUMBER THEORY, v.223, pp.101 - 131
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NUMBER THEORY
- Volume
- 223
- Start Page
- 101
- End Page
- 131
- ISSN
- 0022-314X
- Abstract
- 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.
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