论文标题
时期和$（χ，b）$ - cuspidal自态形式的元容器组的因素
Periods and $(χ,b)$-factors of Cuspidal Automorphic Forms of Metaplectic Groups
论文作者
论文摘要
我们对$（χ，b）$的存在给出了限制 - 全球$ a $ a $ a $参数的真正cuspidal汽车代表$σ$ $σ$ $σ$ theta liftex to theta lifts to theta lifts to the theta lifts to the off ofd offerthoconal to ofd Odd off ofd offerthoconal群体。我们还给出了一个完善的结果，将不变的第一次出现指数与与cuspidal Datum $χ\otimesσ$相关的Eisenstein系列残基的周期积分的不断变化。这补充了我们先前对符号组的结果。
We give constraints on the existence of $(χ,b)$-factors in the global $A$-parameter of a genuine cuspidal automorphic representation $σ$ of a metaplectic group in terms of the invariant, lowest occurrence index, of theta lifts to odd orthogonal groups. We also give a refined result that relates the invariant, first occurrence index, to non-vanishing of period integrals of residues of Eisenstein series associated to the cuspidal datum $χ\otimesσ$. This complements our previous results for symplectic groups.
