ZEROS OF A QUASI-MODULAR FORM OF WEIGHT 2 FOR Gamma(+)(0) (N)
- Authors
- Choi, SoYoung; Im, Bo-Hae
- Issue Date
- Oct-2015
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- Quasi-modular form; The Fricke involution
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.19, no.5, pp 1369 - 1386
- Pages
- 18
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 19
- Number
- 5
- Start Page
- 1369
- End Page
- 1386
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/64462
- DOI
- 10.11650/tjm.19.2015.5067
- ISSN
- 1027-5487
2224-6851
- Abstract
- Basraoui and Sebbar showed that the Eisenstein series E-2 has infinitely many SL2(Z)-inequivalent zeros in the upper half-plane H, yet none in the standard fundamental domain F. They also found infinitely many such regions containing a zero of E-2 and infinitely many regions which do not have any zeros of E-2. In this paper we study the zeros of the quasi-modular form E-2(z) + NE2(Nz) of weight 2 for Gamma(+)(0) (N).
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