论文标题
克林根·艾森斯坦(Klingen Eisenstein)系列的回调和某些关键的L值身份
Pullback of Klingen Eisenstein series and certain critical L-values identities
论文作者
论文摘要
我们获得了Klingen Eisenstein系列的回调公式,相对于Siegel的一致性和偏码亚组,我们以任意水平为单位。使用Mizumoto给出的Klingen Eisenstein系列的傅立叶系列扩展,以证明某些身份涉及涉及$ L $ functions的临界值的某些身份。
We obtain pullback formulas for Klingen Eisenstein series with arbitrary levels, with respect to both Siegel congruence and paramodular subgroups, in degree two. Pullback results are used, along with the Fourier series expansion of Klingen Eisenstein series given by Mizumoto, to prove certain identities involving critical values of $ L$-functions attached to normalized elliptic modular forms of weight $ k $ and full level.