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The location of zeros of a quasi-modular form of weight 2 for Gamma(+)(0)(p) for p=2, 3
- Authors
- Choi, SoYoung; Im, Bo-Hae
- Issue Date
- Jun-2016
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Quasi-modular form
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.438, no.1, pp 73 - 92
- Pages
- 20
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 438
- Number
- 1
- Start Page
- 73
- End Page
- 92
- ISSN
- 0022-247X
1096-0813
- Abstract
- Let E-2(z) be the Eisenstein series which is quasi-modular of weight 2 for SL2(Z). For each p = 2,3, we show that there are infinitely many Gamma(+)(0)(p)-inequivalent zeros of the quasi-modular form E(z) := E-2(z) + pE(2)(pz) of weight 2 for Gamma(+)(0)(p) and give the estimates of their locations numerically. (C) 2016 Elsevier Inc. All rights reserved.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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