On Modular Forms Arising from a Differential Equation of Hypergeometric Type
On Modular Forms Arising from a Differential Equation of Hypergeometric Type
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DOI：
10.1023/a:1026291027692
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发表时间：
2002-06
期刊：
影响因子：
--
通讯作者：
M. Kaneko;M. Koike
中科院分区：
文献类型：
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作者：
M. Kaneko;M. Koike
明确地给出了上半平面上一类二阶微分方程的模解和准模解，该解来源于第一作者与Don Zagier的超奇异不变量的研究。讨论了某些解的傅里叶系数的正性以及微分方程的表征。
Modular and quasimodular solutions of a specific second order differential equation in the upper-half plane, which originates from a study of supersingularj-invariants in the first author's work with Don Zagier, are given explicitly. Positivity of Fourier coefficients of some of the solutions as well as a characterization of the differential equation are also discussed.