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Manuscripta Mathematica

, Volume 142, Issue 3–4, pp 307–346 | Cite as

Multiplicativity of the gamma factors of Rankin–Selberg integrals for SO 2l × GL n

  • Eyal KaplanEmail author
Article

Abstract

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 n constructs 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.

Mathematics Subject Classifications (2010)

Primary: 11S40 Secondary: 11F70 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.School of Mathematical Sciences, Sackler Faculty of Exact SciencesTel-Aviv UniversityTel-AvivIsrael

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