论文标题
Ibukiyama对Siegel模块化形式的猜想的证据，是半融合体重和2度
Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2
论文作者
论文摘要
我们通过使用Arthur的多重性公式在Split Odd Odd Odd Odder odthoconal $ \ so_5 $和Gan-Ichino的多重性公式上使用Arthur的多重性公式来证明Ibukiyama对Siegel模块化形式的猜想和2度2的猜想。在证据中，雅各比群体的表示理论也起着重要作用。
We prove Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2 by using Arthur's multiplicity formula on the split odd special orthogonal group $\SO_5$ and Gan-Ichino's multiplicity formula on the metaplectic group $\Mp_4$. In the proof, the representation theory of the Jacobi groups also plays an important role.
