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arxiv: 1606.04708 · v1 · pith:NL6KISBBnew · submitted 2016-06-15 · 🧮 math.NT

On endoscopic p-adic automorphic forms for SL(2)

classification 🧮 math.NT
keywords automorphicformsp-adicsomeaccountclassicalcohomologicaleigenforms
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We show the existence of some non-classical cohomological p-adic automorphic eigenforms for SL(2) using endoscopy and the geometry of eigenvarieties. These forms seem to account for some non-automorphic members of classical global L-packets.

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