论文标题
与cm形式相关的过度融合特征形式的傅立叶系数
Fourier coefficients of the overconvergent generalized eigenform associated to a CM form
论文作者
论文摘要
令F为具有复杂乘法的模块化形式。如果F具有关键的斜率，那么Coleman的经典定理意味着P-Adic过度会概括性化的Hecke Eigenform，其Hecke Eigenvalues与f相同。我们为这种广义Hecke特征形式的傅立叶系数提供了一个公式。我们还研究了包含f的P-ADIC过度会议形式的广义Hecke本特征的维度。
Let f be a modular form with complex multiplication. If f has critical slope, then Coleman's classicality theorem implies that there is a p-adic overconvergent generalized Hecke eigenform with the same Hecke eigenvalues as f. We give a formula for the Fourier coefficiets of this generalized Hecke eigenform. We also investigate the dimension of the generalized Hecke eigenspace of p-adic overconvergent forms containing f.
