关于周期积分的留数法
On the residue method for period integrals
摘要：
应用周期积分的留数法和Eisenstein级数留数的Langlands-Shahidi理论，研究了六种球面簇的周期积分。对于每一个球面簇，我们证明了周期积分和某些自守L-函数之间的关系。在某些情况下，我们还研究了球面簇的局部重数。
英文摘要：
By applying the residue method for period integrals and Langlands-Shahidi's theory for residues of Eisenstein series, we study the period integrals for six spherical varieties. For each spherical variety, we prove a relation between the period integrals and certain automorphic L-functions. In some cases, we also study the local multiplicity of the spherical varieties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
