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arXiv · 1903.02544

On the residue method for period integrals

Aaron Pollack·Chen Wan·Michał Zydor
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Abstract

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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Aaron Pollack, Chen Wan, Michał Zydor. 2019-03-06. On the residue method for period integrals. https://arxiv.org/abs/1903.02544

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