Fields of rationality of cusp forms

Abstract In this paper, we prove that for any totally real field F, weight k, and nebentypus character χ, the proportion of Hilbert cusp forms over F of weight k and character χ with bounded field of rationality approaches zero as the level grows large. This answers, in the affirmativ...

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Bibliographic Details
Main Author: Binder, John
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: The Hebrew University Magnes Press 2018
Online Access:http://hdl.handle.net/1721.1/114641