Compact periods of Eisenstein series of orthogonal groups of rank one

Details Compact periods of Eisenstein series of orthogonal groups of rank one Compact periods of Eisenstein series of orthogonal groups of rank one

2009-08-25

arxiv.org/abs/0908.3521v1

Mathematics

Number Theory

17 pages

Scientific paper

We determine the period of a spherical Eisenstein series of an orthogonal
group G=O(n+3) of rank one, along the anisotropic subgroup H=O(n+2). We unwind
the global period into an Euler product and evaluate the local factors at good
non-archimedean places.

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