TY - JOUR
T1 - Multiplicativity of the gamma factors of Rankin-Selberg integrals for SO2l × GLn
AU - Kaplan, Eyal
PY - 2013/11
Y1 - 2013/11
N2 - Let SO 2l be the special even orthogonal group, split or quasi-split, defined over a local non-Archimedian field. The Rankin-Selberg method for a pair of generic representations of SO 2l × GL nconstructs a family of integrals, which are used to define γ and L-factors. Here we prove full multiplicative properties for the γ-factor, namely that it is multiplicative in each variable. As a corollary, the γ-factor is identical with Shahidi's standard γ-factor.
AB - Let SO 2l be the special even orthogonal group, split or quasi-split, defined over a local non-Archimedian field. The Rankin-Selberg method for a pair of generic representations of SO 2l × GL nconstructs a family of integrals, which are used to define γ and L-factors. Here we prove full multiplicative properties for the γ-factor, namely that it is multiplicative in each variable. As a corollary, the γ-factor is identical with Shahidi's standard γ-factor.
KW - Primary: 11S40
KW - Secondary: 11F70
UR - http://www.scopus.com/inward/record.url?scp=84885896877&partnerID=8YFLogxK
U2 - 10.1007/s00229-012-0602-x
DO - 10.1007/s00229-012-0602-x
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AN - SCOPUS:84885896877
SN - 0025-2611
VL - 142
SP - 307
EP - 346
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 3-4
ER -