| 模形式空间在Hecke算子作用下不变的显式证明 |
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| 引用本文： | 朱小林.模形式空间在Hecke算子作用下不变的显式证明[J].上海海事大学学报,2006,27(4):88-90. |
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| 作者姓名： | 朱小林 |
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| 作者单位： | 上海海事大学,基础教学部,上海,200135 |
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| 摘 要： | 基于对模形式的研究,得到模形式空间及尖点形式子空间在Hecke算子作用下不变的1个显式证明,并得到模形式在Hecke算子作用前后的傅里叶系数关系的显式表达.
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| 关 键 词： | 模形式 尖点形式 Hecke算子 完全模群 |
| 文章编号： | 1672-9498（2006）04-0088-03 |
| 收稿时间： | 2006-02-23 |
| 修稿时间： | 2006-09-28 |
Explicit proof of modular forms being invariant under Hecke operation |
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| ZHU Xiaolin.Explicit proof of modular forms being invariant under Hecke operation[J].Journal of Shanghai Maritime University,2006,27(4):88-90. |
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| Authors: | ZHU Xiaolin |
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| Institution: | Division of Basic Courses, Shanghai Maritime Univ. , Shanghai 200135, China |
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| Abstract: | Based on the research of modular form theory,it is explicitly proved that modular form space and its cusp form subspace are invariant under Hecke operations.The explicit formula of the changes of Fourier coefficient between the modular form and the new form obtained by Hecke operation is also gotten. |
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| Keywords: | module form cusp form Hecke operation full modular group |
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