Compact periods of Eisenstein series of orthogonal groups of rank one

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Boavida, João Pedro
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Let G=O(n+3) be an orthogonal group of rank one and H=O(n+2) an anisotropic subgroup. We unwind the period along H of a spherical Eisenstein series of G against a cuspform of H into an Euler product and evaluate the local factors at odd primes.
Comment: 19 pages; submitted. Changes from version 1: old sections 3 and 7 removed for conciseness. All else: minor mistakes fixed; presentation substantially revised (results unchanged); discussion at bad odd primes added
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Mathematics - Number Theory, 11F67 (Primary) 11R42, 11S40 (Secondary)
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