There Exist Non-CM Hilbert Modular Forms of Partial Weight 1

In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).

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Hauptverfasser: Moy, Richard A, Specter, Joel
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Specter, Joel
description In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).
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title There Exist Non-CM Hilbert Modular Forms of Partial Weight 1
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