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Classical weight one forms in Hida families: Hilbert modular case

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Abstract

In this paper, we investigate the number of classical weight one specializations of a non-CM ordinary Hida family of parallel weight Hilbert cusp forms. We give an explicit upper bound on the number of such specializations.

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Correspondence to Tomomi Ozawa.

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The author is supported by JSPS, Grant-in-Aid for Scientific Research for JSPS fellows (15J00944).

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Ozawa, T. Classical weight one forms in Hida families: Hilbert modular case. manuscripta math. 153, 501–521 (2017). https://doi.org/10.1007/s00229-016-0898-z

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  • DOI: https://doi.org/10.1007/s00229-016-0898-z

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