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

Richard A. Moy; Joel Specter

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arXiv · 1407.3872

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

Richard A. Moy·Joel Specter

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Abstract

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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Richard A. Moy, Joel Specter. 2014-07-15. There Exist Non-CM Hilbert Modular Forms of Partial Weight 1. https://arxiv.org/abs/1407.3872

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