Trace formula of certain Hecke operators for Γ 0(qν )
Trace formula of certain Hecke operators for Γ 0(qν )
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某些 Hecke 算子的迹公式 Γ 0(qν )
DOI：
10.1017/s0027763000018523
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发表时间：
1979
影响因子：
0.8
通讯作者：
M. Yamauchi
中科院分区：
文献类型：
--
作者：
H. Saito;M. Yamauchi
设SK(Γo(qν))是关于同余子群Γ0(qν)的权K的尖点形式的空间，SK(Γ0(qν))是SK(Γ0(qν))中所有新形式的子空间，其中q是素数使得q≥3.现在对f∈SK(Γ(qν))，我们知道W诱导SK(Γ0(Qν))的自同构.另一方面，对于2阶(Z/QZ)×的特征标χ，设δx表示由Shimura在[15]中定义的关于χ的“扭转算子”，即For。
Let SK(Γo(qν)) be the space of cusp forms of weight K with respect to the congruence subgroup Γ0(qν ), and SK(Γ0(qν)) its subspace of all new forms in SK(Γ0(qν)), where q is a prime such that q ≥ 3. Now for f ∈ SK(Γ(qν)), put Then it is known that W induces an automorphism of SK(Γ0(qν)). On the other hand, for the character χ of (Z/qZ)× of order 2, let δx denote the “twisting operator” with respect to χ which was defined in [15] by Shimura, namely, for .