Modular Ordinary Differential Equations on SL(2, ℤ) of Third Order and Applications
In this paper, we study third-order modular ordinary differential equations (MODE for short) of the following form ′′′ + ₂()′ + ₃() = 0, ∈ ℍ = { ∈ ℂ | Im > 0}, where ₂() and ₃() − 1/2′₂() are meromorphic modular forms on SL(2, ℤ) of weight 4 and 6, respectively. We show that any quasimodular for...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211532 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Modular Ordinary Differential Equations on SL(2, ℤ) of Third Order and Applications. Zhijie Chen, Chang-Shou Lin and Yifan Yang. SIGMA 18 (2022), 013, 50 pages |