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arxiv: 1903.02544 · v2 · pith:V75F66QNnew · submitted 2019-03-06 · 🧮 math.NT · math.RT

On the residue method for period integrals

Aaron Pollack , Chen Wan , Micha{\l} Zydor This is my paper
classification 🧮 math.NT math.RT
keywords integralsperiodsphericalmethodresiduevarietiesapplyingautomorphic
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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.

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