TY - JOUR
T1 - On the residue method for period integrals
AU - Pollack, Aaron
AU - Wan, Chen
AU - Zydor, Michał
N1 - Funding Information:
The first author was partially supported by Simons Foundation Collaboration Grant 585147, which helped make this work possible.
Publisher Copyright:
© 2021
PY - 2021/4/1
Y1 - 2021/4/1
N2 - By applying the residue method for period integrals, we prove identities between period integrals on cuspidal automorphic representations and period integrals on residual representations for seven spherical varieties. Combining this with the Langlands-Shahidi theory for residues of Eisenstein series, for each case, we prove some relations between the period integrals and certain automorphic L-functions. In some cases, we also study the local multiplicity of the spherical varieties.
AB - By applying the residue method for period integrals, we prove identities between period integrals on cuspidal automorphic representations and period integrals on residual representations for seven spherical varieties. Combining this with the Langlands-Shahidi theory for residues of Eisenstein series, for each case, we prove some relations 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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U2 - 10.1215/00127094-2020-0078
DO - 10.1215/00127094-2020-0078
M3 - Article
AN - SCOPUS:85105096854
SN - 0012-7094
VL - 1
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 1
ER -